Question 96

$$sec^{2}Acosec^{2}A$$ is equal to

Solution

Expression : $$sec^{2}Acosec^{2}A$$

= $$\frac{1}{cos^2 A} \times \frac{1}{sin^2 A} = \frac{1}{cos^2 A sin^2 A}$$

Using, $$(sin^2 A + cos^2 A = 1)$$

= $$\frac{sin^2 A + cos^2 A}{cos^2 A sin^2 A}$$

= $$\frac{sin^2A}{sin^2Acos^2A} + \frac{cos^2A}{sin^2Acos^2A}$$

= $$\frac{1}{cos^2 A} + \frac{1}{sin^2 A} = sec^2 A + cosec^2 A$$

=> Ans - (C)

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