Basic Math question and answers for October 13, 2024
- Q Suppose tan(a)=5/6 where 0 ? ? ? ?/2.Find all solutions in [0, 2?):tan(2x)=5/6x=
- Q Given right triangle ABC, right angle at C, side b = 6 inches, side c = 15 inches.Solve the triangle completely.Round all angles to the nearest degree and all sides...
- Q To get a better look at the graph, you can click on it.The curve above is the graph of a sinusoidal function. It goes through the point (2, 0). Find...
- Q 29. Determine the amplitude, period, midline, and an equation involving cosine for the graph shown in Figure 32.30. Determine the amplitude, period, midline, and an equation involving sine for the...
- Q 6. Draw a graph of at least two periods of the function gir) -3 cos (x/2t+ x/2)-2 by(a) plotting the points where the graph intersects the midline and(b) plotting the...
- Q Choose all the right statements. Use Capital Letters ONLY. If you choose more than one letters, please arrange them in alphabetical order, please.A. cos 2A = cos A- sin AB....
- Q If a wagon wheel had 15 more spokes, the angle between spokes would decrease by 54 degrees. How many spokes does the wheel have?A) 11B) 5C) 6D) 2E) 8
- Q A marine surveyor uses a rangefinder and a compass to locate a ship and an island in the vicinity of the coast on which she stands. The rangefinder indicates that...
- Q Jason sees a tall building from across town. He turns 90 and walks 100 yards. Jason then turns to face the building, and the angle between his line of sight...
- Q Given oblique triangle ABC, side a = 12 ft., side b = 17 ft., side c = 10 ft., find the degree of the smallest angle (round to the nearest...
- Q The following problem refers to triangle ABC. Solve it. Round your degrees and minutes to the nearest whole number. Round the sides to the 3 decimal places.b = 0.75, c...
- Q Sketch the angle and write the sec and tan of the angle if the terminal side of the angle passes through (3, -6). Express each answer as a decimal rounded...
- Q If construction costs are $156,000 per kilometer, find the cost of building the new road in the figure shown to the right.
- Q Suppose cos(a)=4/5, where 0 ? a ? ?/2.Find all solutions in [0, 2?):cos(2x) = 4/5.
- Q Without using a calculator, find all the solutions oftan(t) = -1where -? < t ? ?.
- Q Graph the function over a two-period interval. Give the period and amplitude.y = 3 cos 2x
- Q What are the domain and range of the cosine function?Domain: All Real NumbersRange: (-1,1)Domain: All Real NumbersRange: [-1,1]Domain: [-1,1]Range: All Real NumbersO Domain: All Real Numbers where ... -, 0,...
- Q Students were asked to prove the identity (sec x)(csc x) = cot x + tan x. Two students' work is given.Student AStep 1:Step 2:cos X sin xStep 5:1cos x sin...
- Q Why type of symmetry does the cosine function have?Cosine is an odd function, meaning it has rotational symmetry about the origin.Cosine is an even function, meaning it has symmetry with...
- Q Consider the graph of f(x) = sin(x).a. Describe the graph.b. Can this graph be an example of any other function?Hint (b):c. Explain why f(x) = sin(x) cannot be a polynomial...
- Q Solve the triangle if possible.a=7 c = 12 B =98.3
- Q Show that if is an integer multiple of 7, then sin(2x) = 2 sin(x).Hint:Graph the equations y = sin(2x) and y = 2-sin(x) on graphing paper or use Desmos calculatorWhere...
- Q Which of the following expressions could not be used to determine the exact value of cos 120?O cos^2(60) - sin^2(60)O2cos^(60) - 1O 2sin(60)cos(60)O 1 - 2sin^2(60)
- Q Given sin x=- 15/17 and cos x > 0, what is the exact solution of cos 2x?O161/289O225/289O161/289O225/289
- Q The following problem refers to triangle ABC, find all missing parts. Round degrees to 1 decimal places and sides to the nearest whole number.A = 21.6, B = 51.4, a...
- Q For the rotation 435, find the coterminal angle from 0 0 < 360, the quadrant and the reference angle.The coterminal angle is __ of which lies in Quadrant with a...
- Q Why type of symmetry does the sine function have?Sine is an odd function, meaning it has symmetry with respect to the y axis.Sine is an even function, meaning it has...
- Q cos ? =-24/25, ? a lies in quadrant II, and sin B = ?21, lies in quadrant II Find cos (? + ?).-48-7?21/12514-24?21/125-14+24/21/12548+7?21/125
- Q What are the domain and range of the sine function?Domain: All Real NumbersRange: (-1,1)Domain: All Real Numbers where x?..... -?/2,?/2,....Range: [-1,1]Domain: [-1,1]Range: All Real NumbersDomain: All Real NumbersRange: [-1,1]
- Q A farmer wants to build a new barn between her house and a pasture. She wants the ratio of the distance from the house to the barn and the barn...
- Q Suppose a right triangle contains an angle such that sin(?) =3/7Enter the exact values of the trig functions below:cot (?) = sin (?) =tan (?) = cos(?)...
- Q Write the expression cot? cos? tan? csc? using a single trigonometric function.cos ?sin ?sec ?cot ?
- Q 7sin(3x) = 4 for the two smallest positive solutions A and B, with A<BA =B=Give your answers accurate to at least two decimal places.
- Q 7?/6 in degrees is _____________ degreesThe exact form of tan (7?/6) is ___________
- Q Determine two coterminal angles (one positive and one negative) for each angle. Give your answers in radians. (Enter your answers as a comma-separated list.)(a) 2?/3(b) -9?/4
- Q A simple graph G on n vertices (n ? 2) is drawn in the plane. Prove that if every edge crosses at most one another edge, then the number of...
- Q Use a half angle formula or formula for reducing powers to fill in the blanks in the identity below:(cos(3x)) = _____ + ____ cos(_____ x)
- Q If the terminal side of angle ?, in standard position, passes through the point (-3, 4), what is the value of sin ? ?(A) -5/4(B) -3/4(C) 4/5(D) 4/3
- Q According to a Chinese legend from the Han dynasty (206 B.C.E.-220 C.E.), General Han Xin flew a kite over the palace of his enemy to determine the distance between his...
- Q Find all solutions of the equation. Express the solutions in radians in the form a + 2?, where a is in [0,2?). sin x = -?3 / 2
- Q Find the values of the trigonometric functions of from the information given. tan (?)=12/5, ? in Quadrant IIIsin(?) =cos(?) =csc(?) =sec(?) =cot(?) =
- Q Simplify cosxtanxa. cscxb. sinxc. cos(x)d. cos?x
- Q State the equation of the rational function if the vertical asymptote is x=5, the horizontal asymptote is y=2, and the x-intercept is -(1/2)a) f(x) = 4x-1/2x-5b) f(x)=2x+1/2x-10c) f(x)=2x+1/2/x-5d) f(x) =...
- Q The slope of the tangent to the curve f(x) =2^x at x =1 is approximately (to three decimal places):a) 1b) 0.347c) 0.693d) 1.388
- Q Solve 3 cos(x) + 5 cos(x) - 2 = 0 for the interval 0?x? 2?a) 1.231 and 5.052b) 1.231c) 1.231, 2.356, 2.759 and 5.052d) 5.052
- Q Since the relationship sin(x) + cos(x) = 1 is correct, it stands to reason that sec(x) + csc(x) = 1 must also be correct. This statement is:a) True for all...
- Q Which of the following is equivalent to:tan (?)/cos (?)a) cos(?)/cot (?)b) csc(?)/sin (?)c) 1d) sec (?)/cot (?)
- Q Although 330 is a special angle on the unit circle, Amar wanted to determine its coordinates using the sum and difference formulas.Part A: Determine cos 330 using the cosine sum...
- Q Which expression is equivalent to tan(x) + cot(x)?cos x/sec xcos(x) sin(x)1/sin(x) cos(x)2 tan(x)
- Q Solve the equation on the interval [0, 2TT).cos x - 2 cos x sin x = 0?/6,5?/6?/6,?/2,5?/6,3?/2?/6,5?/6,2?0,?/6,5?/6,3?/2
- Q To further justify the Cofunction Thebrem, use your calculator to find a value for the given pair of trigonometric functions. The trigonometric functions are cofunctions ofcomplementary angles. Round each answer...
- Q Fill in the blank to correctly complete the sentence.For the polar equation r= 6 sin 40, if 0= 15, then r =For the polar equation r=6 sin 40, if 0=15,...
- Q Consider the trigonometric equation 2 sin(0) + 3 = 4, where the angle is measured in degrees.One set of solutions is ?=Another unique set of solutions is ?=
- Q Considering only the values of for which sin tan sec cot is defined, which of the following expressions is equivalent to sin tan sec cot ? Select the correct answer...
- Q Use identities to find values of the sine and cosine functions for the angle measure.?, given that cos2?= and 90 < ? < 180sin? = (Simplify your answer, including any...
- Q Given: cos (4?/9) cos(2?/9) sin (4?/9) sin(2?/9) 1. Identify the Trig identity that corresponds with the expression above. 2. Simplify and find the exact value. Show all work. Answers without...
- Q A building 29.94 feet tall has a shadow that is 33.11 feet long. Find the angle of elevation of the sun to the nearest hundredth of a degree.The angle of...
- Q From the observation deck of a skyscraper, Meena measures a 45 angle of depression to a ship in the harbor below. If the observation deck is 862 feet high, what...
- Q Find the cosine of the angle between A and B with respect to the standard inner product on M22A =[3 3] and B = [4 2] [3 -1]...
- Q Information about ?ABC is given.Determine all remaining information about the triangle. Answers must be accurate to three decimal places. If there are multiple triangles with the given information, determine all...
- Q The point P(x, y) on the unit circle that corresponds to a real number t is given. Find the value of the indicated trigonometric function at t.(3/4, ?7/4) ...
- Q Given sin?= -5/13 and ?<?<3?/2, what is the exact solution of sin 2??
- Q Find the exact value of tan (11?/4) using the unit circle.zero1-12
- Q Find the exact value of the expression: cos(165)The final solution needs to be simplified for full credit.
- Q Discussion Board Topic: In this discussion board you will:Part 1: Use a real life application to come up with a QUESTION utilizing the Law of Sines and Law of Cosines...
- Q The longer base of an isosceles trapezoid measures 23 ft. The nonparallel sides measure 9 ft, and the base angles measure 80. Find the length of a diagonal.A. 20 ftB....
- Q The angle of elevation to the top of a Building in New York is found to be 2 degrees from the ground at a distance of 2 miles from the...
- Q 4. A Ferris wheel with a diameter of 40 m rotates every 40 seconds. A passenger gets on at a point 1 m above the ground.a) Sketch a graph showing...
- Q Use the given conditions.tan(u) = -5/12, 3?/2 < u < 2?(a) Determine the quadrant in which u/2 lies.Quadrant IQuadrant IIQuadrant IIIQuadrant IV(b) Find the exact values of sin(u/2), cos(u/2), and...
- Q Use identities to simplify the expression.CSC X-1/CSC XWhich of the following is a simplified form of csc x- 1/csc x?
- Q For the given function, state the amplitude and the maximum output for the function:f(t) = -3cos(t).The amplitude is 6 and the maximum value is y = 3.The amplitude is 3...
- Q Which expression is equivalent to cos120?cos 60cos240cos300cos420
- Q An airplane ascends at an angle of elevation of 22" for a ground distance of 7850 feet. What height does the plane gain during this ascent? Draw a picture on...
- Q Solve the triangle, if possible. Round to the nearest hundredth.a = 27 ftb = 31 ftc = 42 ftA = 39.96, B = 47.51, C = 92.53A = 39.96, B...
- Q An equation for the line L is:y = 3 + 3/2 (x - 17)The angle L makes with the x-axis is:
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