Question

$\sin \theta =\frac{4}{3}$ for some angle $\theta$.

• A. True
• B. False

Answer 1

The correct option is B False

$\sin \theta =\frac{4}{3}>1$

As we know that,

$\sin \theta =\frac{\text{Perpendicular}}{\text{hypotenuse}}$

$\because \text{hypotenuse}>\text{Perpendicular}$

$\Rightarrow \frac{\text{Perpendicular}}{\text{hypotenuse}}<1$

$\therefore \sin \theta <1$

Hence the given statement is false.