Using the above graph, if 10^{o} < x < 60^{o}, what is the value of x for which sin x = cos x?

Answer Details

Since sin x = cos x, we have: sin x = cos x Dividing both sides by cos x, we get: tan x = 1 Taking the inverse tangent (tan^{-1}) of both sides, we get: x = 45^{o} Therefore, the value of x for which sin x = cos x is 45^{o}. Therefore, the correct option is (d) 45^{o}.