Question

Sate whether the following are true or false. Justify your answer.
$sin\theta =\frac{4}{3}$ for some angle $\theta .$

• A. True
• B. False

Answer 1

The correct option is B False

False

Given,

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

We have,

$\sin \theta =\frac{sideoppositeto\theta }{hypotenuse}$

In a right angled triangle, hypotenuse is the greatest side.

$=>\sin \theta <1$

Here, $\sin \theta =\frac{4}{3}=1.3$ $i.e.,>1$

$\therefore \sin \theta =\frac{4}{3}$ for some value of $\angle \theta$ is $False$