Question

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

sinθ = cosθ for all values of θ.

Options

• True

• False

Answer 1

This statement is False.

Explanation:

sin θ = cos θ for all values of θ.

This is true when θ = 45°

As

`sin 45° = 1/sqrt2`

`cos 45° = 1/sqrt2`

It is not true for all other values of θ.

As sin 30° = `1/2` and cos 30° = `sqrt3/2`