If tan x = -1/3, cos x > 0,, then | sin 2x -6 cos 2x -1 tan 2x -3/4

Q: Is sin-1 x the same thing as1/sin x?

A:

Q: ·S Evaluate cos x sin³ x dx. + C

A: To evaluate the following integral.

Q: Is (1-sin x) not the same as (sin x - 1)?

A: (x - y) is not same as (y - x), whereas  (x - y) = - (y - x)

Q: simplify sin x-1/cos x - cos x /sin x-1

A: The given expression is

Q: 2. sin 2x 1 - sin² x = 2 tan x

A: Aim: To show that sin(2x)1-sin2(x)=2tan(x)

Q: If tan x = 3, cos x > 0, , then - sin 2x cos 2x tan 2x %3D

A:

Q: Find sin 5, given that sin x = 2 i and 0<x<5.

A: Here  sin x=14⇒cos x=1-sin2x              ⇒cos x=1-116              ⇒cos x=154 Now, sin2x2=1- cos x2…

Q: Show that os (2 tan~ r) COs

A: We have to prove that cos(2tan-1x)=1-x21+x2.

Q: 2. Find the measure in radian of the central angle that intercepts an arc of unit circle if the arc…

A: Given radius of circle is 1

Q: find solution set of tan-1x-cot-1x=cos-1(2-x)

A:

Q: Find sec2x if sin x = 6/10 and sec x < 0

A:

Q: find x sin-1(1-x)-2sin-1x=90 degree

A: sin-1(1-x)-2sin-1x=90 degree

Q: Prove sin 2  x/2=  tan x - sin x / 2 tan  x

A: The given identity is sin2x2=tanx-sinx2tanx