Question 57

The value of $$\sin^2 32^\circ + \sin^2 58^\circ - \sin 30^\circ + \sec^2 60^\circ$$ is equal to:

Solution

$$\sin \theta = \sin(90 - \theta) =\cos \theta$$

$$\sin^2 58^\circ = \cos^2 58^\circ$$

So , $$\sin^2 32^\circ + \cos^2 32^\circ - \sin 30^\circ + \sec^2 60^\circ$$

= 1 - $$\frac{1}{2}$$ + 4

=4.5

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