Question

If $\theta$ is any acute angle, what is the area of a square with adjacent sides $sin\theta$ and $tan\theta$?

• A. $sin\theta \times cos\theta$
• B. $co{s}^2\theta$
• C. $si{n}^2\theta$
• D. 0

Answer 1

The correct option is D

0

In a square, lengths of all the sides are equal,
which means $sin\theta =tan\theta$.

For angles $0^{\circ }to{90}^{\circ }$, $sin\theta =tan\theta$ holds good only when $\theta =0^{\circ }$

But, $sin{0}^{\circ }=0$

When the length of the side is equal to zero, the square does not exist. Hence, the area is 0.