Question : The value of $\cos^2 32^{\circ}-\sin^2 58^{\circ}$ is:
Option 1: $\frac{1}{2}$
Option 2: $-1$
Option 3: $1$
Option 4: $0$
Answer (1)
23rd Jan, 2024
Correct Answer: $0$
Solution :
$\cos^2 32^{\circ}-\sin^2 58^{\circ}$
$= \cos^2 32^{\circ} - \sin^2 (90^{\circ}-32^{\circ})$
$= \cos^2 32^{\circ} - \cos^2 32^{\circ} = 0$
Hence, the correct answer is $0$.
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