Question

Solve for x : tan( cos-1x) = sin[cot-1(1/2)]​

Answer 1

Answer:

5 root/3

Step-by-step explanation:

Let cot−121 be θ.

Then, sinθ=52

⇒ R.H.S. =52

Now, let cos−1x be α.

⇒x=cosα and tanα=x1−x2= L.H.S.

Equating L.H.S. and R.H.S., we have x1−x2=52

⇒5−5x2=2x which on squaring gives 5−5x2=4x2

Or, x=35