19. If cosec 0 - sin 0 =a3, sec 0 - cos 0 = 63, then prove that a? 62 (a? +62)=1

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( L(1) quad a^{2} b^{2}left(a^{2}+b^{2}right) ) ( =a^{4} b^{2}+a^{2} b^{4} quadleft(a^{m}right)^{n}=a^{m a n} ) ( begin{aligned}=cos ^{2} theta+sin ^{2} theta &=1, text { Trigonometic identity } & text { R. } mathrm{H}^{prime} text { ) hond pored. } end{aligned} )

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