3. Mark was tasked with finding the exact value of tan(x+y) given that sin x = where -

Q: 10. y = cos 2t tan 2t

A:

Q: cos x Prove: tan x = sec x. To receive full credit, you must show all steps. - 1-sin x

A: To prove,           cos x1-sin x - tan x = sec x.

Q: 48. Simplify a. 1/cos x b. 1/secx c. 1/tan x d. 1/sin x 1 sin³ x col² x sin x

A:

Q: If cos x = - 47 and 7 7/2 s ≤x≤, find the exact value of sin(x).

A:

Q: 1 Differentiate y = tan 8x + cos ,x

A: Using differentiation rule,

Q: Suppose cosx=-1/3, 0<x<pi. Find the exact value of tan(x/2).

A:

Q: 5. Simplify the expression: tan (csc (x)). Assume x is defined appropriately.

A:

Q: Diff eqn. 25) y' + (tan x)y = cos x when -pi/2 < x < pi/2

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with  so here we have

Q: 23. Which of the following expressions are defined? Why or why not? (a) sin-(-25 (b) sin-1 3 -1 7…

A: (a). Given expression is sin-1-125. We know that domain of sin-1x is -1,1. Here, -125=-0.04. -125…

Q: VI. Find the exact value of the expresssion: a) cos(sin=1) b) tan(sin¬'#)

A:

Q: If sin x = .V and t < x <

A: Given data: The given expression is sinx=-√2/5. The given interval is π&lt;x&lt;3π/2. The given…

Q: Find sin 8. tan 0 = √2 w|n 3 cos 8>0

A: given  tanθ=-23,  cosθ&gt;0tanθ&lt;0  and  cosθ&gt;0, there for θ is in 4th quadrant

Q: 1. What is S tan x dx?

A: log|sec x|+c .

Q: In each case find cos(2x) and cos(x/2). Do not use your calculator. 3 and 0 <x < n/2 5' 5 a. cosx =…

A: Given that cos x=3/5 and 0&lt;x&lt;π/2. We need to find cos(2x) and cos(x/2).

Q: 1. cos x 1 - sin x = sec x + tan x

A:

Q: 1. sin x csc x 5. cos x (tan x + 1)

A:

Q: tan? z sec? x + sec a Prove 1-cos I

A:

Q: 3. (error) For what values of x can you use sin x ≈ x- with an error less than 5 × 10-4?

A: The aim is to find the value of "x" so that it is used The expression of

Q: 35. Verify the following: sec sin 0.tan 0 sin e cos² e

A:

Q: 14. Simplify: 1 csc²x O sin x 01 O tan x O cos x + 1 sec²x

A:

Q: 3. What is csce if tane = ?

A:

Q: tan? x – cot2x = sec2 x – csc? x - tanx-sinx = 1- cosx tanx

A: To prove :- 5.tan2(x) - cot2(x) = sec2(x) -csc2(x)  6. (tan(x) -sin(x))/tan(x) =1-cos(x)

Q: a ud X Is in guer find Sin x for cos *, aud fein x guediant! tanx = -/2 %3D

A: Given tanx=−125

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.