Question 36

If $$sec^2A + cosec^2A$$ = X, then the value of X is

Solution

Expression : $$sec^2A + cosec^2A$$ = X

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

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

= $$sec^2Acosec^2A$$

=> Ans - (D)


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