1.

\operatorname tan \theta = 1 \sqrt 7 , \text then \frac \operatorname cosec ^ 2 \theta - \operatorname sec ^ 2 \theta \operatorname cosec ^ 2 \theta %2B \operatorname sec ^ 2 \theta

Answer»

if tan theta = 1 / root 7cosec theta = root 8/1sec theta = root 8/root 7...........(cosec ^2 theta - sec ^2 theta )/cosec^2 theta +sec^2 theta )(root 8/1)^2 - (root 8/root 7)^2/ (root 8/1)^2 + (root 8/root 7)^2(8/1 - 8/7) / (8/1 + 8/7)((56 -8)/7 / ((56 + 8)/7[48/7 / 64/7][ 48 x 7]/ [7 x 64)Cancel 7's top and bottom=48/64Divide top and bottom by 16= 3/4



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