Question 89

Solve: 1 + $$\tan^2\theta$$ = ?

Solution

1 + $$\tan^2\theta$$

=1+$$(sin^2\theta)/(cos^2\theta)$$

=

$$(cos^2\theta+sin^2\theta)/cos^2\theta$$

=$$1/cos^2\theta$$

(we know that$$sin^2\theta+cos^2\theta=1$$)

=$$sec^2\theta$$.

($$cos\theta=1/sec\theta$$)

B is correct choice.

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