Question

The value of $\tan 48^\circ \tan 16^\circ \tan 42^\circ \tan 74^\circ$ is _____.

• A. $0$
• B. $1$
• C. $\frac{1}{2}$
• D. $2$

Hint:

Whenever trigonometric angles add up to \(90^\circ\), immediately think of complementary identities: \[ \tan(90^\circ-\theta)=\cot\theta \] \[ \sin(90^\circ-\theta)=\cos\theta \] These identities help simplify lengthy expressions very quickly.

Answer 1

The Correct Option is B