Prove the identity. Work on one side only. cos(4x) = 18 sin² x+8 sin ¹ x

Q: 2 Simplify completely: sec x (1 – sin² x). sec x CO X O None of these. O 1 sin x

A: we use Trigonometry identities

Q: Prove the identity. sin 2x = tanx 1+cos 2x

A: Explanation of the solution is given below....

Q: cos 2u · sin u = cos 2u for ,

A:

Q: 4. Evaluate y = sin¬1 (x) when x = 1 %3D O 37 2 -1

A:

Q: 1+sin x 4 15. Evaluate o cos2 x

A: Integral of sec^2x is tanx and secxtanx is secx

Q: Find an alternative form in terms of x for each of cos(sin- 1 x) and tan(sin- 1 x).

A: Let us make a triangle with opposite = x and hypotenuse=1 , because sin theta= opposite/hypotenuse…

Q: Show all steps to prove the statement is true. Neatly show each step of your work to earn full…

A: Given Trigonometric expression  ( 1 - sinx )( 1 + cscx ) = cscx - sinx

Q: 3下 2 cos x 1-Sin x

A:

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

A: given  tanθ=-23,  cosθ>0tanθ<0  and  cosθ>0, there for θ is in 4th quadrant

Q: Convert this identity to one using sine term(s) only. 1 - 2 cos2r = 2sin²r - 1 -1 - sin²r 1 -…

A: This question is based on conversion of Cos2r = 1 - Sin2r

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: 1/2 sin e cos (cos a cosec 0) de TC (1-cos a).

A: Note that we have to show that the integral value is  π2(1 - cosα).

Q: Use an identity to solve the equation cos 2x = sin x on the interval [0, 2π).

A: Given:cos2x=sinx  on [0,2π)

Q: sec'e -1 3) sin'e

A:

Q: cos² (x) sin (x) dx

A:

Q: Simplify (cos x- sin x)(cos x+ sin x). sin x cos x O 2 cos x-1 2 cos x+1

A: Given: cosx-sinxcosx+sinx

Q: TT/3 π/4 dx cos² x tan x

A:

Q: cos x – 1.75 = -1 COS X sin(4x) = 2 – sin 4x 4 tan(2x) – 1 = 3

A: