Question 9

If $$\sec \theta + \tan \theta = 2, $$then $$\sec \theta - \tan \theta = ?$$

Solution

The correct option is A.

We know that, $$sec^{2}\theta- \tan^{2}\theta = 1$$

$$\Rightarrow$$ ($$sec\theta+ tan\theta$$)($$sec\theta - tan\theta$$) = 1

$$\Rightarrow$$ 2 $$\times$$ ( $$sec\theta - tan\theta$$) = 1

$$\Rightarrow$$. $$sec\theta - tan\theta$$ = 0.5

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