Question

given that sin x < cos x and 0° < x < 90°, state a possible value of x. explain your answer clearly.​

Answer 1

See below.

Explanation:

When x has a value between 0 and 90 the values of sin x ranges from 0, if x = 0 and 1 , if x = 90 degrees.

The cosine of x has the reverse value: cos x is 1 for x = 0 and 0 for x = 90 degrees.

At x = 45 the sine and cosine are equal in value.

So for sin x < cos x the value of x must be between 0 and 45 degrees.

So a possible value of x is 30 degrees.

When x = 30 sin x = 0.5 and cos x = 0.866.