Question

solve the question. it is urgent.

Answer 1

Hi dear friend

Here is your Answer

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$sec {}^{2} a + cosec {}^{2} a = sec {}^{2}a \: cosec {}^{2}a \\ \\ now \: take \: lhs \\ \\ \frac{1}{cos {}^{2}a } + \frac{1}{sin {}^{2} a} \\ \\ = \frac{sin {}^{2}a + cos {}^{2} a}{cos {}^{2}a \: sin {}^{2} a } \\ \\ we \: know \: that \\ sin {}^{2} a \: + cos {}^{2} a = 1 \\ \\ = \frac{1}{cos {}^{2} a \: sin {}^{2} a} \\ \\ = sec {}^{2} a \: cosec {}^{2} a \: \: \: \: proved$