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Q: What is sec^2 81degrees - tan^2 81degrees

A: Formula used:Since

Q: Find the distance along an arc on the surface of the earth that subtends a central angle of 2 minute...

A: We have given,

Q: how do you find the exact value of a trigonometric function

A: Suppose we have a right triangle ABC,Perpendicular of right triangle be pBase of right triangle be b...

Q: simplify as much as possible (tan x - sec x )2

A: We have trigonometric expression as

Q: Find a positive angle less than 2 pi that is coterminal with 31 pi over 8?

A: To express the given angle in the standard form (between 0 and 2*pi)

Q: Write the equation of a sine function that has the following characteristics.Amplitude: 2 Period:...

A: we have to find f(x) with following information

Q: Use the given information to find the exact value of a. sin 20, b. cos 20, and c. tan 20. 28 cos 0 0...

A: Given,

Q: thank you soo much

A: a) To evaluate OB, use the pythagoras theorem

Q: Thank u

A: In the triangle CDH, using pythagoras theorm we get,

Q: Please explain the solution in a clear manner, step by step.

A: Here, we have to calculate AB , where BC=108 feet and angle C=0.5 degree

Q: Use the given information to find the exact value of each of the following. a. sin 20 b. cos 20 c. t...

A: Given,

Q: Solve the equation exactly for (0,2π)

A: Given trigonometric equation is: Simplifying the equation, Therefore,The solution to the given equ...

Q: How to solve SIN(theta) COT(theta) + 2COS(theta)

A: We have given

Q: Find the amplitude ,the period in radians, the phase shift in radians ,and sketch the graph

A: Consider, the equation y=-2+3sin(3x+2pi/3),In equation, we observe the amplitude is 3.

Q: A motorboat sets out in the direction N68° 42’ E. The speed of the boat in still water is 15.1 mph. ...

A: It is given that, the motorboat sets out in the direction 68 degree 42 minute.The speed of the boat ...

Q: cosx= -0.173648177

A: The equation is given as

Q: Two pulleys, one with radius 2 inches and the otherwith radius 8 inches, are connected by a belt. (S...

A: From the given information it is observed that, each time the pulley goes around and the belt was ad...

Q: A one-lane highway runs through a tunnel in the shape of one-half a sine curve cycle. The opening is...

A: The equation for sine curve that fits the opening is shown on board, where x=opening length, a= ampl...

Q: 4y^2-y+7=0

A: Given problem is

Q: find the exact value of each trigonometric function. a) cos 9pi/4 b) sin (-9pi/4) c) cot (-5pi/4) d)...

A: Click to see the answer

Q: Evaluate the expression exactly and completely.

A: Given information:The given expression is

Q: Find the exact value of the expressions cos(a B), sin(a + ) and tan(a B) under the following conditi...

A: To calculate the value of the expression cos(α+β), sin(α+β) and tan(α+β) under the provided conditio...

Q: Find all the complex solutions of the equation. x^6+64=0

A: Given equation is

Q: Please provide detailed solution easily understandable.

A: The guy wire is attached 27 feet from the ground in a perpendicular telephone pole.The guy wire make...

Q: Find the angle of least positive measure(not equal to the given measure) that is coterminal with 600...

A: Co terminal angles are angles which have their terminal sides in same location when drawn in standar...

Q: On a circle of radius 10 feet, what angle would subtend an arc of length 5 feet?

A: Formula used:

Q: Hi, please help me with #21 in the attached image.

A: Let the given statement be P(n).So for the first step, we prove that P(1) is true.

Q: What is the domain of the function y = 3sin–1(2t)? Can you explain how to think about the above qu...

A: The given function,

Q: Did exact value using half-angle identities a) sin 22.5° b) cos75°

A: to evaluate the (exact , using radicals, etc) values of the given trigonometric ratios using standar...

Q: .-) oketen a graph of p(x) =-21x-11 + 4 2 12 6-5 -4 -3-21 1 2 3 456 2 4 0-3 5 6 7. Given f (x) x24, ...

A: As per norms, the three subparts a, b and c are answered. Questions regarding the functions f , g an...

Q: Solve the following equation on the interval [0,2m) V3 cot(3x)

A: Consider the provided equation on the given interval [0, 2) .

Q: write the given vector in terms of i and j. u= (-8,5).

A: It is given that, the vector u is, (–8, 5).Assume that, the symbol i represents the horizontal direc...

Q: sec (e)2tan(e) 1+3tan (e)

A: Given expression is: According to trigonometric identities,Plugging the value in the given expressio...

Q: how do you do this problem you are given the solution set for sin x =-1/2 it asks you to give the so...

A: It is given that

Q: If the shadow cast by a 600 feet tall tree is 1648.48 feet, find the angle (to the nearest tenth of ...

A: Let AB represents the tree and BC represents the shadow, Then angle C is the angle of elevation of s...

Q: Using Calculus, it can be shown that the arctangent function can be approximated by the polynomial b...

A: As per norms, the first three parts of the questin are answered, ((c) consists of two questions) To ...

Q: Fill in the blanks so that the resulting statement is true. The point P on the unit circle that corr...

A: We know that any point on the circle of radius r corresponds to t is ( rcost, rsint). Here r=1. The...

Q: Seeing that the cosine is positive and the tangent is negative, in which quadrant must theta lie? Fi...

A: Here given the value of cos θ and we ned to find the value of tan θ. It is mentioned that tan θ is n...

Q: Solve the following equation on the interval [0,2m). 20 = -1 sin 7

A: The equation is given by

Q: -2 0.1 2 3 4 5 6 (a) Using the following graph of f (x)-2 to sketch the graph of F(x) = f(x-1) + 2. ...

A: It is given that the graph of f(x).Claim is to sketch the function f(x-1)+2.

Q: Find csc B when a=3 and b=7. Suppose ABC is a right triangle with side lenghts a, b and c and right ...

A: given information

Q: Verify that it is an identity (1-sec/tan)+(tan/1-sec)=-2csc

A: We will simplify left side and make it equal to right side

Q: 6 sin(x) + 2 cos(x) = 0

A: We are given trigonometric equation as

Q: If two angles of a triangle have radian measures9π and 38π , find the radian measure of the thirdang...

A: The sum of 3 angles of a triangle=piLet the third angle be x.

Q: A baseball leaves the bat an an angle theta with the horizontal and an inital velocity of v = 100 fe...

A: According to the question, the baseball leaves the bat at an angle theta with the horizontal at an i...

Q: converting 2 pi/3 to degreesconverting 400 degrees to radian

A: pi radian = 180 degreesHence, 2pi/3 = 120 degrees

Q: It’s a review question.

A: We have to find distance between two points where points is given by

Q: Find the area of the sector of a circle having the radius 11 feet and the central angle of 52.50 deg...

A: To determine the area of the sector shown.

Q: How do I express radian decimals in terms of pi???

A: We have,π radians = 180 degree1 radian = 180/π degreeThis is the way of converting angles from radia...

Q: Note the quadrant. Using the proper sign, show how you use a Pythagorean Identity to find cos theta(...

A: Given that theta is in quadrant 2 and sine theta value is given to us. We need to compute cos theta ...