Question 95

What is the simplified value of $$(\frac{secA}{cotA + tanA})^{2}$$ ?

Solution

$$(\frac{secA}{cotA + tanA})^{2}$$

=$$(\frac{secA}{\frac{1}{tanA} + tanA})^{2}$$

=$$(\frac{secA}{\frac{sec^{2}A}{tanA}})^{2}$$

=$$(sinA)^{2}$$

=$$1-cos^{2}A$$

so the answer is option A.


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