Question

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

sin θ = `4/3`, for some angle θ.

Options

• True

• False

Answer 1

This statement is False.

Explanation:

sin θ = `4/3`

We know that in a right-angled triangle,

sin θ = `("Side opposite to ∠θ")/"Hypotenuse"`

In a right-angled triangle, hypotenuse is always greater than the remaining two sides. Therefore, such value of sin θ is not possible.

Hence, the given statement is false.