Basic Math question and answers for March 10, 2024
- Q Find an equation whose solution is the smallest value of x, in the interval [0, 2x]using the digits 1 to 9, at most one time each.cos(x) + 0 = 0
- Q The same landscaper in the previous problem is asked to design a larger triangular garden with two sides of length 40.0 and 37.5 feet. She determines that the angle between...
- Q Determine the following trigonometric values of t using the picture of the unit circle below. Round your answers to three digits. Note that sec(pi+t) should be read as sec(? +...
- Q A landscaper desgins a garden that is roughly triangular. The angle in the northeast corner is 90, the north side is 22 feet long, and the diagonal side that connects...
- Q Suppose you want to use a Half-Angle Identity to find the exact value of the following expression.cos 67.5A.cos 67.5 =?1 + cos___/2B.cos 67.5 =-?1 + cos___/2C.cos 67.5 =-?1 + cos___/2D.cos...
- Q Which of the following is the result when you divide3(cos 60 + i sin 60) by 2(cos 30 + i sin 30)?a 1.5b -3C -1.5d 3
- Q Jeriel leans a 26-foot ladder against a wall so that it forms an angle of 61 with the ground. What's the horizontal distance between the base of the ladder and...
- Q The graph of a sine function has an amplitude of 2, a midline of y = 10, and a period of 4.There is no phase shift. The graph is reflected...
- Q A 45-foot ladder is set against the side of a house so that it reaches a window 27 feet up. Find how far the base of the ladder is from...
- Q Suppose tan x =7/10 and x is the angle in quadrant 3.Thensin x =cos x =
- Q To evaluate the integral ?sin? cos?? d? by trigonometric transformation, we use the identity:(A) cos? = 1 + cos2? / 2(B) sin? = 1 - cos2? / 2(C) sin? cos?...
- Q To determine the value of tan(7?/8) ,which identity could be used?I.(1 - cos(7?/4))/sin(7?/4)II.sin(7?/4)/(1 - cos(7?/4))III.-{(1 - cos(7?/4))/(1 + cos(7?/4))}^(1/2)a)l onlyb)I and II only
- Q Suppose is an angle such that cos(?) =-1/7a)If 2? <?<3?,then cos(?/2)=___and sin(?/2)=___
- Q Find the points on the curve y=cosx/(x+sin x) at which the tangent is:a). Horizontalb). Vertical
- Q Given that tan?=1/2 and sin?< 0, find the exact value of each of the remaining five trigonometric functions of ? .
- Q Create a table of values for the function and use the result to estimate the limit. Use a graphing utility to graph the function to confirm your result. (Round your...
- Q Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.)lim (5/sin x)x ?0+
- Q Use a graphing utility to graph the function and visually estimate the limits. (Round your answers to three decimal place.)f(x) = 7x cos x(a) lim f(x) = x?0(b)...
- Q (a) For each function below, indicate whether it is odd, even, or neither.f(x)= tan x Odd Even ...
- Q A gun with a muzzle velocity of 1210 feet per second is fired at an angle of 7 above the horizontal. Find the vertical and horizontal components of the velocity....
- Q Use the Law of Sines to solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two decimal places. (If a triangle is not possible,...
- Q Find the area of the triangle. Round your answer to one decimal place.C = 103 15', a = 18, b = 28
- Q Use the Law of Sines to solve the triangle. Round your answers to two decimal places.A = 94.9, C = 11.2, a = 28.6B = b:c=
- Q Given that sin a = 2/7 and cos b =-(1/4) and a and b are in the interval (?/2, ?), find sin(a + b) and cos (a - b).Give the...
- Q Solve the equation for ? if 0 ? ? < 360.2 cos? + 1 = sec??=_____
- Q tan(arcsin(-0.16095496)) = ___Round to 6 decirnal places.
- Q 23. A sector of a circle has a central angle of 45. find the area. of the sector if the radius of the circle is 5cm.cm2
- Q write the product as a sum or difference 6 Sin (35c) Sin(11c)=
- Q 13. Solve sin(x) = -0.16 on 0?x < 2?A=B=Give answers accurate to 3 decimal places.
- Q if csc (x)=7, for 90<x< 180, thensin (x/2) =cos (x/2) =tan (x/2) =
- Q If tan (?) = 12/5,0 ? ? ? ?/2, thenSin (?)=Cos(?)=Sec(?)=
- Q Find all solutions to 2 sin (?) = ?3 on the interval 0 ?? < 2??=Give answer as exact values, as a list
- Q Suppose a = 5 and b = 6 Find an exact value or give at least two decimal places:sin (A) =cos(A)=tan (A) =sec (A)=csc (A) =cot (A) =
- Q Find a value of 0 in the interval [0,90] that satisfies the given statement.tan ?=0.63056645Find a value of a in [0, 90] that satisfies the given statement. cos? =1.1266023
- Q Find the exact values of sin 2u, cos 2u, tan2u if cosu =(-3/7) and ?<u<3?/2
- Q Given z = -7 -3i, rewrite z in trigonometric form.6.325 (cos 23.199 + isin 23.199?)7.616(cos 23.199 + isin 23.199?)6.325(cos 203.199 + isin 203.199?)7.616(cos 203.199 + isin 203.199)
- Q Convert the polar equation r = 8cos ? to a rectangular.equation.
- Q Suppose that is in standard position and that the terminal side of is in the fourth quadrant and is perpendicular to the line given below.y =14x+6Compute the following. Keep your...
- Q Find all solutions of the equation.csc ? sin ?= 1all ? except ?= 2?n for n = 0, +-1, +-2, ...all 8 except ?= ?n for n = 0, +-1,...
- Q A triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the PythagoreanTheorem. What are the measures of the other 2 angles?
- Q Find the exact value of cos ?/3 in simplest form with a rational denominator.
- Q Fill in the blank with an appropriate measure.sin (40) = cos(___)
- Q In which quadrant does 0 lie if the following statements are true:cos ?< 0 and csc ? > 0Quadrant IQuadrant IIIQuadrant IIQuadrant IV
- Q Establish the identitycos ? + sin ? /sin ? - cos ?-sin ? /cos ? =sec ? csc ?A. Cancellation PropertyB. Even-Odd IdentityC. Reciprocal IdentityD. Pythagorean IdentityE. Quotient IdentitySubtract the...
- Q Let sin(?)=3?27sin(?)=327.Find all possible values of cos(?)cos(?).
- Q Sin 43 =(Round answers to the nearest tenth.)
- Q Find the exact value of s in the given interval that has the given circular function value.Do not use a calculator.[0,?/2] ; sins=1/2
- Q If 5sec? - 2tan? = 5, then the value of 5tan? - 2sec? can be(1) 7(3) 3(2) 5(4) 2
- Q Verify the identity.secx-secx sinx = 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...
- Q Verify the following identity.2 sin x + cos2x = 1To transform the left side into the right side, ___should be changed to___and the left side simplified.
- Q Solve the equation on the interval [0,2?).cos (2?) =?3/2What are the solutions to cos (2?) =?3/2 in the interval [0,2?)? Select the correct choice and fill in any answer boxes...
- Q Consider the function f(x) = cot(x)a) Sketch two cycles of y-f(x) from (-2?,2?), labeling the all the key points.b) What should the domain of f(x) be restricted to make f(x)...
- Q Find the exact value of each expression.(a) cos 75 + cos 15(b) cos 67.5 cos 22.5
- Q Solve the right triangle.M=n=p=(Round to one decimal place as needed.)m (Round to the nearest integer as needed.)m (Round to the nearest integer as needed.)....MnPP49.4126 mN
- Q Use a calculator to evaluate the expression.cos2 (19) + sin 2 (19)2cos (19) + sin (19) = (Simplify your answer.)
- Q A 12.5-m fire truck ladder is leaning against awall. Find the distance d the ladder goes up thewall (above the fire truck) if the ladder makes anangle of 26 34'...
- Q Find the exact value of each part labeled with a variable in the following figure.h=30C=63hCFdn6063?32(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expreCOLL(Simplify...
- Q Use Osborn's rule or otherwise to prove that:a) 1 - tanhx = sechxb) cothx - 1 = cosechxc) coshx = 2sinhx + 1d) tanhx =e) coshx =f) cothx = 2cosechx...
- Q Solve for x in the interval 0 ?x ? 2?2 sin x + 1= csc X
- Q What is the surface area of the cylinder with height 7 cm and radius 8 cm?
- Q The sines of two angles of a triangle are equal to 5/13 and 99/101. What is the cosine of the third angle?(a) 255/1313(b) 265/1313(c) 275/1313(d) 770/1313
- Q Verify the identitysin(-x) - cos(-x) (sin x + cos x)Use the properties of sine and cosine to rewrite the left-hand side with positive arguments.sin(-x) - cos(-x) = __________ -cosx ...
- Q Let be an angle in standard position, with its terminal side in quadrant III such thatcot ? = 4/5 Find the exact values of sin? and cos?.sin? = -5?41 /41cos?...
- Q Sketch the graph of the function. Include two full periods, and identify at least three vertical asymptotes.y=- (1/2)tan x
- Q A radio transmission tower sways in a strong wind so that the top moves back and forth as much as 56 cm with a period of 6.0 s. This motion...
- Q Solve for Theta and find value of Theta 1, theta 2, theta 3, theta 4.12.5 sin [3?/4 cos?] -sin [15?/4 cos?] = 0On solving ? in radians?? = 1.6913 (rad)??...
- Q Solve the equation on the interval [0,2x).(tan 0-1)(sec 0-1)=0***Select the correct choice below and fill in any answer boxes in your choice.A. 0=(Simplify your answer. Type an exact answer, using...
- Q Find sin ? and tan ? if cos ? = 7/25, assuming that 0?? < ? /2.sin? = []tan?=[]
- Q Let ?= arcsin(-1/2), then?=7?/6 and sin? = -1/2?=-5?/6 and sin? = -1/2?= 11?/6 and sin? = =1/2? = -?/6 and sin? = -1/2
- Q Let ? = arccos (-1/2), then? = -4?/3 and cos? = -1/2? = 2?/3 and cos? = -1/2? = 4?/3 and cos? = -(1/2)? = -(2?/3) and cos? = -1/2
- Q Find the vertical translation of y = 5+2sin[6x + ?/6]A) Up 5B) Down 5C) Up 1/6D) Down ?/6
- Q Verify the following identity.sin x + cos2x = 1 - sin xTo transform the left side into the right side, should be changed to and the left side simplified.
- Q Let ? = arccos(-?3/2), thenA) ? = 5?/6 and cos ? = -(?3/2)B) ? = -(7?/6) and cos ? = -(?3/2)C) ? = 7?/6 and cos ? = -(?3/2)D) ?...
- Q Let ? = arctan(-?3/3), thenA) ? = 5?/6 and tan ? = -?3/3B) ? = 11?/6 and tan? = -?3/3C) ? = -?/6 and tan ? = -?3/3D) ? =...
- Q Let ? = arcsin (3^-2)/2, thena)?=?/3 and sin?=(3^-2)/2b)?=-5?/3 and sin?=(3^-2)/2c)?=2?/3 and sin?=(3^-2)/2d0?=-4?/3 and sin?=(3^-2)/2
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
- Unlimited Question Access with detailed Answers
- Zin AI - 3 Million Words
- 10 Dall-E 3 Images
- 20 Plot Generations
- Conversation with Dialogue Memory
- No Ads, Ever!
- Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!