Question 46

$$ If \sin\theta = \cos\theta, and \theta $$ is acute, the value of  $$ 2\sin^{2} \theta - 3\cos^{2} \theta is : $$

Solution

$$\sin\theta = \cos\theta when \theta=45\degree$$

So , $$ 2\sin^{2} \theta - 3\cos^{2} \theta$$

=$$\frac{2}{2} - \frac{3}{2}$$

=$$\frac{-1}{2}$$

So, the answer would be option b)$$\frac{-1}{2}$$.


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