MHT-CET

Trigonometrical Ratios, Functions and Identities question bank (Mathematics)

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Q1.

The value of $\cos^2 10^\circ - \cos 10^\circ \cos 50^\circ + \cos^2 50^\circ$ is equal to:

(A)

$\frac{1}{4}$

(B)

$\frac{1}{2}$

(C)

$\frac{3}{4}$

(D)

$1$

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Q2.

If $\cos(\theta - \alpha) = a$ and $\sin(\theta - \beta) = b$, then the value of $\cos^2(\alpha - \beta) + 2ab \sin(\alpha - \beta) + \cos^2(\theta - \alpha)$ is...

(A)

$a^2 + b^2$

(B)

$a^2 - b^2$

(C)

$b^2 - a^2$

(D)

$a^2 + 2b^2$

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