6. The variable t is a real number and P= is the point on the unit circle that corresponds to t. Find the excact 3 values of the six trigonometric functions of t. Draw a dlagram showing the reference triangle in the appropriate quadrant of the unit circle, and label the sides of the triangle with the correct lengths. (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) sint- cost = tant= csct = sect =

Q: 3 1. Given that the sin 0 = find the third side of the right triangle and then find the 7 exact…

A: Topic- trigonometry ratio

Q: 18. Find the exact value of the following expressions. Simplify. 7 cos arctan V3 a) b) tan cos 4

A: Here we calculate the value

Q: Find a possible formula for the trigonometric function whose values are in the following table. x 0…

A:

Q: 4 5. Given that sin 0 and tan 0 < 0. Find the other five trigonometric functions of 0 5

A: Given that sin(θ)=-45 and tan(θ)&lt;0.We have to find other five trigonometric functions of θ:

Q: 2. Find the EXACT value of sin (P). 10 8.

A:

Q: 8. If cos(a) = -, and tan(a) is positive, find the other five trigonometric functions for a. Find…

A:

Q: of

A:

Q: 11. Evaluate the exact value of each of the following trig e> a) tan-(-V3) b) sec (sin" (-))

A: Answer and explanation is given below

Q: 4. Express the following as a single trigonometric ratio: a) 4sin(2x)cos(2x) b) 6cos? 3

A: We have to express the given trigonometric ratio in a single trigonometric ratio.

Q: 4 9' Evaluate the other five trigonometric sin 0 = In a right triangle, 0 is an acute angle and…

A:

Q: 4 Suppose that sina and 90° < a < 180°. 5 a Find the exact values of sin and tan 2 गंत 2

A:

Q: 8 If tan 0=, T<0< find the exact value of each of the following. 5' 2 (a) sin (20) (b) cos (20) (c)…

A: We use Trigonometry ratios, double angle and half angle formulas

Q: Create a table of values of sin(1/x) for the following values of x: 2/pi, 2/3pi,2/5pi, 2/7pi, 2/9pi,…

A:

Q: 3. Find the exact value of tan(a - B) if sin a = 13 and cos B = and a is 25 %3D in quadrant II while…

A: Given :  If sin α = 5/13 and cos β = 7/25 , α is in quadrant II while β is in quadrant III.   Find…

Q: 12. Which of the following trigonometric expressions are equivalent to - V2 . Select all that apply.…

A: solve the following

Q: 5) If cos 0 and you are in the fourth quadrant, find sin 0 and tan 0

A:

Q: 4. If cos A = z and 0<A < , then the value of sin(24), to the nearst hundredth is

A: We have to find the value of sin(2A) .

Q: Use a calculator to find a decimal approximation for the values of the following trigonometric…

A:

Q: 13п What is the exact value of sin-(x) if x =cot 4 A 4 B 4 D 티2

A: Option (c) π2

Q: 15 What is the exact value of tan (sinr) where r 17 Provide your answer below:

A: Solving the problem by finding the value of the function.

Q: Find a possible formula for the trigonometric function whose values are in the following table. x |0…

A: Maximum value= 4 minimum value= -2  So amplitude= |a| = (max-min)/2= (4-(-2))/2= 6/2 = 3 Vertical…

Q: 6. Evaluate S* VI-* d* using trigonometric substitution.

A: Evaluate using trigonometric substitution

Q: If the terminal side of 6 contains the point (6, 8), what is the exact value of sin (8 – )? 7/2 10…

A: We know that if the point in the angle's terminal side is P=(x,y) then sin(bita)=y/r and…

Q: 13 Suppose that sec and 270° <0 < 360°. 0 Ө Find the exact values of sin and tan 2 2 गंत

A: Solution of given question is written in below steps.

Q: 8 If tan 0= T< 0 < 7' 2 find the exact value of each of the following. (a) sin (20)

A: we have given a trigonometrical ratio. We have to find sin2thita

Q: 12. Explain why using trigonometric substitution with x = a tan u often involves a triangle with…

A: Consider the right triangle below with angle u , opposite side x and adjacent side a.

Q: 5. What is the purpose of using Odd and Even functions in Trigonometry? Also, indicate if sin 0, cos…

A: Graph of odd functions are symmetric about origin. i.e If  function f(x) is odd function, then f(-x)…

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

A: Given,

Q: 11 Suppose that ß is an acute angle with csc B . Compute the exact value of cos B. You do not have…

A:

Q: If  is close to p/2, determine whether the value of each trigonometric function isclose to 0, close…

A: Known facts: Sinx is a continuous function and sinπ2=1. cosx is a continuous function and cosπ2=0.

Q: 17 Express the sine, cosine, or tangent of indicated angle as a fraction and as a decimal rounded to…

A:

Q: (1) Previously, the known values of the sine and cosine function that we listed around the unit…

A: For 75°    sin75°  =  sin(30° + 45°)  =  sin30°cos45° + sin45°cos30°  =  12x12+12×32  = 3+122  =…

Q: 8. If tan A = -1/7 and tan B = 3/4 , where A is obtuse and B is acute, find without using tables the…

A: Given that: tan A = -17tan B = 34

Q: If cos x = 5/11 and the terminal point of x is in Quadrant IV, what is sin x

A:

Q: 11. Given that 0 is an acute angle and sin 0 trigonometric functions of 0. find the exact values of…

A: θ is acute so it's in first quadrant. All the trigonometric ratios will be positive.

Q: 9. Given that sin 0 = - and e lies in quadrant IV, find the exact value of cos

A:

Q: 15. Find the following EXACT: (a) sin[cos'(2/3)] (b) sin[tan(-6)]

A: We use sin[cos-1(x)]= √(1-x2) and sin[tan-1(x)]=x/√(1+x2)

Q: 2. If tan 0 =, 0 E Q II, find the other five trigonometric functions. %3D

A:

Q: 1. Use your calculator to find the values of the trigonometric ratios (correct to 2 decimál places).…

A:

Q: Find the value of all six trigonometric functions for e = 4 %3!

A:

Q: 1 Suppose that cota= and - <a<T. <a<n. 2 Find the exact values of sin- and tan- 2 2 JT

A:

Q: Find a possible formula for the trigonometric function whose values are in the following table.  x…

A:

Q: 8) Find the exact value of each of the remaining trigonometric functions of theta. sin0 = tane < 0.…

A:

Q: Find (a) sin 2t, (b) cos 2t and tan 2t given the following: 1) cost = −5/13 , and π/2 0 3) tant =…

A: The detailed solution is given below Thank you

Q: 4. Find the exact value of the following (you must show your work!): -1 cot ( tan 12,

A:

Q: 7) Use the given figure to write the trigonometric ratio as fractions and as decimals rounded to the…

A:

Q: Suppose 0 <m(8)<, and x=2 sec(0). What is the resulting expression if we write √x² - 4 as a…

A:

Q: A. Without using your calculator, determine the special acuté 1. a = sin- (-) 2. 0 = cos () 3. B =…

A:

Q: 3. If sin 0 15' Find the values of the remaining 5 Trigonometric functions 2 cin cos A

A:

Q: 4. Write an equivalent expression for sin*(x) that does not contain powers of trigonometric…

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.