Question

State whether the following is true or false. Justify your answer.

The value of cos θ increases as θ increases.

Options

• True

• False

Answer 1

This statement is False.

Explanation:

cos 0° = 1

`cos 30° = sqrt3/2 = 0.866`

`cos 45° = 1/sqrt2  = 0.707`

`cos 60° = 1/2 = 0.5`

cos 90° = 0

It can be observed that the value of cos θ does not increase in the interval of 0° < θ < 90°.

Hence, the given statement is false.