Question

Simplify csc x/secx.

Answer 1

Csc x
--------- = (1/sin x) / (1/cos x) = (1/sin x) *(cos x) = cos x / sin x = cot x  
sec x 

hope helped 

Answer 2

Cosecant is a trigonometric function that is the reciprocal of the sine function. On the other hand, the secant function is the reciprocal of the cosine function. The ratio then becomes,
                              (1 / sin x) / (1 / cos x) = cos x / sin x
This can be further simplified into cot x.