Question

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

The value of sinθ increases as θ increases.

Options

• True

• False

Answer 1

This statement is True.

Explanation:

The value of sin θ increases as θ increases in the interval of 0° < θ < 90° as sin 0° = 0

sin 30° = `1/2` = 0.5

sin 45° = `1/sqrt2` = 0.707

sin 60° = `sqrt3/2` = 0.866

Hence, the given statement is true.