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Find the value of 
We know that cos−1 (cos x) = x if
, which is the principal value branch of cos −1x.
Here,
Now, can be written as:
Find the value of 
We know that tan−1 (tan x) = x if
, which is the principal value branch of tan −1x.
Here,
Now, can be written as:
Solve
, then x is equal to
(A) 
(B) 
(C) 0 (D) 
Therefore, from equation (1), we have
Put x = sin y. Then, we have:
But, when
, it can be observed that:
is not the solution of the given equation.
Thus, x = 0.
Hence, the correct answer is C.
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is equal to
(B) 
(C) 
(D) 
is equal to
(B). 
(C) 
(D) 
[Hint: putx = cos 2θ] 
