Given that tan(α)=−7/6 with π/2<α<π, give an exact answer for the following:       a.sin(α/2)= b.cos(α/2)= c.tan(α/2)=)=   2.Given that cos(β)=7/9 with 3π/2<β<2π, give an exact answer for the following:   a.sin(β/2))= b.cos(β/2)= c.tan(β/2)=   Decimal approximations are not allowed for this problem .Enter your answer in exact form. Use “sqrt( )” to represent √

Q: Given cos (α) =7/9 and sin(α)<0, calculate the exact value of cot(α).

A: We have cosα = 79  sinα&lt;0 To evaluate : The exact value of cotα

Q: Assume sin(0) = Thus, cos(0) = = 49 50 The angle is in quadrant 0 where 2π < 0 < 5. Compute sin(2) 2…

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

Q: V5 , where 0 < x < . Find the exact value of cos Suppose sin x = (즐). 3

A:

Q: solve the following parts- a. csc x/sec x = (answer only in sin(x) & cos(x)) b. cos x + 1/sin x =…

A:

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sec(x) = 8, x in Quadrant IV sin(2x)…

A:

Q: 15 Suppose sin(a) = — where π < a < ³7, and tan(ß) = 8 a) Find sin (a + B). where <ß <³7.

A: formula is  sin(α+β)=sinαcosβ+cosαsinβsin2x+cos2x=1

Q: Find sin(x/2) =  cos (x/2) = tan(x/2) =   from the given information. sin(x) = 24/25,   0° < x <…

A: Question: Find sin(x/2) =  cos (x/2) = tan(x/2) =   from the given information. sin(x) = 24/25,…

Q: Given that sin (x) dx -TT, what is 8. sin (0) de? %3D

A:

Q: tan(a+β) ; cosα = −(11/61) for α in Quadrant III and sinβ = −(63/65) for β in Quadrant IV

A: To find: tan(α+β)

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

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.