Basic Math question and answers for October 14, 2024
- Q Which expression below can be obtained from 10sinx by using a power reducing formula?Select the correct answer below:5 - 10cos (5x)5-5cos (2x)10-5cos (2x)5-10cos (x)5-5cos (x)
- Q For sin 2x + cos x = 0, use a double-angle or half-angle formula to simplify the equation and then find all solutions of the equation in the interval [0,...
- Q Given: tanx = -15/8 and x is in Quadrant IV.Find the exact values of sin (x/2),cos (x/2), and tan (x/2) without solving for x, when 0 ? x ? 360.To...
- Q Let P(x, y) be the terminal point on the unit circle determined by t. Then sin(t) = ___,cos(t) = ___ , and tan(t) = ___.
- Q Evaluating the cosine of a sum of two angles can be done using cos(A + B) = ?a) sin(A) sin(B) cos(A) cos(B)b) None of thesec) cos(A) cos(B) + sin(A) sin(B)d)...
- Q Solve the following equation on the interval [0, 360). Round answers to the nearest tenth. If there is no solution, indicate "No Solution." -6csc(x) - 19cot(x) = 4
- Q Find all EXACT solutions of the equation given below in the interval [0,?).cos(3x)=-1/?2If there is more than one answer, enter them in a list separated by commas. Enter an exact...
- Q A complicated equation was simplified and factored into (tanx) (sinx a ) (sec x - a) = 0.Determine the number of roots of the equation over the domain 0 <=...
- Q Sketch the graph of y = tan( x + ?/4 ) within the interval ( 2?, 2?)a) What is the period?b) Write the formula for the vertical asymptotes: x =...
- Q The amount of daylight in a town can be modelled by the sinusoidal functiond(t)= 4.37 cos 0.017t + 12.52where d(t) represents the hours of daylight and t represents the number...
- Q Given the equation y = 2 sin(3(x + 6)) + 7The amplitude is:The period is:The horizontal shift is:The midline is: y =
- Q Which of the following shows the graph of y = cot (1/2*x) + 1?
- Q Suppose 0 ??? ?/2. Solve the equation: 2 cos(3?) + cos(3?) - 2 = 0 for ?.Give your answer rounded to 2 places after the decimal point.
- Q Write 2 tan 17/1 - tan 17 as a trigonometric function of one number. You do NOT need to type in the degree symbol.
- Q given cot 38= 4/3 and csc 33= 13/12 find sin 66
- Q Solve 6 cos(2x)= 3 for the smallest positive solution.Give your answer accurate to at least two decimal places.
- Q Solve 7 sin(? 6)x = 4 for the four smallest positive solutionsGive your answers accurate to at least two decimal places, as a list separated by commas
- Q Find the maximum and minimum values of the function g(0) = 2? - 7 sin(?) on the interval [0, ?/2]Minimum value =Maximum value: =
- Q Verify the identity.tan x csc 2x? tan x= cotxChoose the sequence of steps below that verifies the identity.
- Q Find all solutions of this equation in the interval [0, 2?):2 cos(x) + 1 = 0
- Q Use the definition or identities to find the exact value of each of the remaining five trigonometric functions of the acute angle ?.cos ? = 1/11
- Q For each of the following, identify the amplitude, period, horizontal (phase) shift, vertical shift, domain, range, y-intercept and any x-intercepts. f(x) = 4 - 2 sin 3 (x - 2?)Amplitude:Period:Hor....
- Q Select the correct answer from the drop-down menu.Sam is flying a kite. The length of the kite string is 80 meters, and it makes an angle of 75 with the...
- Q Plot the given graph by finding the values of y that correspond to the values of x of 0, 1, 2, 3, 4, 5, 6, and 7 on a calculator.(Remember,...
- Q A ferris wheel is 45 meters in diameter and boarded from a platform that is 5 meters above the ground. The six o'clock position on the ferris wheel is level...
- Q A light source is located over the center of a circular table of diameter d = 12 feet (see figure). Find the height h of the light source such that...
- Q Solve the following equation.6 sin ?-3=0,0 ??<2?What are the solutions in the interval 0 ??<2??
- Q Find the lengths of the sides of the given triangle.The three sides of the triangle are units.(Simplify your answers. Use a comma to separate answers as needed. Type integers or...
- Q A small aircraft starts its descent from an altitude of h = 4/5 miles, 4 miles west of the runway (see figure).(a) Find the cubic function f(x) = ax +...
- Q Determine which law applies. Then solve the triangle, if possible. Round angles to the nearesttenth when necessary, and round side lengths to the nearest hundredth when necessary.C = 108.4a =...
- Q cos (2 +57) in terms of sin(x) and cos(x)4Rewrite cos
- Q Solve 3tan 0 + 1 = 4tan 9 for all positive angles less than 360, to the nearest whole degree.O 1.45, 72, 225, 25202.3.26.6, 153.4, 206.6, 333.445, 18, 225, 198O...
- Q Solve the following equation for x, where 0 < x < 2?.6 cos (2x) + 18 cos x - 24 = 0Select the correct answer below:
- Q Solve the following equation on the interval [0, 360).2 cos (3x) -?3 = 0The answer choices below represent solution sets. Choose the answer that represents the entire solution set on...
- Q If 4sin?-9 = -7, where 0 ? ? < 2?, what are the values of ? List your answers as exact answers in terms of ?, separated by a comma...
- Q Use a power reducing formula to determine which of the following is equivalent to 32sin4?.Select the correct answer below:8 + 16cos (4?)12 16cos (2?) + 4cos (4?)12+16cos (2?) + 4cos...
- Q cotx/CSCX = COS XTo verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transform the expression...
- Q (1 point) Determine all solutions forcos(0) = 0.39Solutions with base angle in quadrant I: 0Solutions with base angle in quadrant IV: 0 =where n is any integer, and both base...
- Q Which of the answer choices given below is an equivalent expression for sin (3x) that doesn't contain any powers of sine or cosine greater than 1?Select the correct answer below:O...
- Q the equation for exact solutions over the interval [0, 2x).3 tan 3x=3Solveww***Select the correct choice below and, if necessary, fill in the answer box to complete your choice.OA. The solution...
- Q 3. Solve each of the following on the interval [0,2?].a. cosx + 0.45 = 0 (4 marks)sulay imunizem 5 bas - 10 eulsy murzinin saatou lesinev s frignalOU(mhamn 2) noon...
- Q Find the exact values of s in the interval [0,2x) that satisfy the condition, sin s= -1/2(Use a comma to separate answers as needed. Simplify your answers. Type exact answers,...
- Q CorrectSolve the following equation on the interval [0, 360). Round answers to the nearest tenth. If there is no solution, indicate "No Solution."12cos(x) = 3sec(x) - 5AnswerHow to enter your...
- Q Determine the point(s) at which the given function f(x) is continuous.f(x) = 6 csc (6x)The function is continuous on (-?,?) except for(Type an exact answer, using as needed. Type an...
- Q Consider the equation sin((x + y)) = 0.a) Use your understanding of the sine function to find the solutions to the equation.b) Plot the solutions to the equation.c) Use implicit...
- Q Roger is standing next to a tree where his shadow is 3 feet long and the shadow of the tree is 18 feet long. If Roger is 4. 5 feet...
- Q The difference in length of a spring on a pogo stick from its non-compressed length when a teenager is jumping on it after 0 seconds can be described by the...
- Q Solve the following equation on the interval [0,2?).cos x ? 2 sin x cosx=0Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A....
- Q A seismograph measures the movement of the earth during an earthquake. During a tremor, the motion of the earth can be measured by:s(t) = 7 cos(2/t)where t is the time...
- Q Which equation represents a tangent function with a domain of all Real numbers such that x??/4+?/2n, where n is an integer?f(x)=tan(2x - ?)g(x)=tan(x - ?)h(x)=tan(x-?/2)j(x)=tan(x/2-?)
- Q Use a calculator to perform the indicated operations. Write the answer in rectangular form(12 cis 80.5)(5 cis 74.5)
- Q What is the amplitude and period of the function f(x) = 2 sin(1/5 x)? Please provide your answer in the form of ?.Provide your answer below:
- Q On the graph of f(x) = cos x and the interval [2, 4?), for what value of x does f(x) achieve a minimum? Choose allanswers that apply.Select all that apply:0-??2?573?E27/2
- Q Find the exact value of y, or state that y is undefined. y = cos^-1(10) Select the correct choice below and, if necessary, fill in the answer box to complete...
- Q You are given that sin(A) = -3/5, with A in Quadrant III, and cos(B) = 24/25, with B in Quadrant I. Find sin(A + B). Give your answer as a...
- Q Given that cos ? = -24/25 and sin ?<0, determine the values of the sine and cosine functions for 2?sin 2?=cos 2?=(Type an intege for a simplified fraction.)
- Q Use a power reducing formula to simplify20cos^4 x. Write your answer as an equivalentexpression that does not contain any powers ofsine or cosine greater than 1.
- Q Solve the equation for exact solutions over the interval [0, 2x).4sin2x+8sin x+4=0Select the correct choice below and, if necessary, fill, in the answer box to complete your choice.A. The solution...
- Q The position of an engine's piston, in inches, is given by the trigonometric function p(t) = 2 sin (200?t), where t represents the time in seconds. The of the function...
- Q Identify the function's midline, amplitude, and period.f(x) = 2 sin(x) +1Midline: y = 1Amplitude: 2Period: 2Midline: y = 1Amplitude: NonePeriod: 2Midline: y = 1Amplitude: 2Period: 1Midline: y = 0Amplitude: 2Period:...
- Q Solve the equation for solutions in the interval [0,2). Use algebraic methods and give exact values. Support your solutions graphically.sin (x/2) = ?3 - sin(x/2)
- Q The distance from the ground, in meters, of a person riding on a Ferris wheel after t seconds can be modeled by the function D(t)=20 sin(t/10)+20. Based on the graph...
- Q A message in a bottle is floating on top of the ocean in a periodic manner. The time between periods of maximum heights is 24 seconds, and the average height...
- Q A child builds two wooden train sets. The path of one of the trains can be represented by the function y=2sin2x, where y represents the distance of the train from...
- Q Katherine wants to determine the height x of a nearby tree She stands 53 feet from the base of the tree The measure of the angle of elevation from Katherine...
- Q into and out of the valley They take the measurements shown Determine the height of the cliff to the nearest tenth of a kilometre 5 40 cliff 1 5 km...
- Q Nate heard stories about the massive Sierra redwoods in California and looked forward to seeing one of these trees for himself On his first actual encounter with one of the...
- Q Find the value of x in the given right triangle 37 10 X x Enter your answer as a decimal rounded to the nearest tenth Enter
- Q A 6 foot tall man stands x feet away from an 18 foot tall street light as shown below Use similar triangles to express the length of the man s...
- Q LT 8 Three telephone wires connect two towers and the station How much wire is needed to connect Tower B to the station Tower A Station 130m 440 Tower B...
- Q The function graphed to the right is of the form y c cos x y c sinx y cos x d or y sin x d where d is the...
- Q Given that sin 0 necessary 3 and is in Quadrant III what is cos 0 Give your answer as an exact fraction with a radical if 3 Provide your answer...
- Q 18 Lombard Street in San Francisco California is paved with red bricks and is a switchback road with a speed limit of 8 km h because of its extreme grade...
- Q 13 A camper wants to protect her bag of food from bears She decides to tightly stretch a rope between two trees and hang her bag from a point exactly...
- Q Automatic Zoom 536544 viewContent 2714736 View A person who is 1 65m high stands 25 7m from the base of a building the top of a near building at an...
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