1. If sin p + cosec p = 2, then the value of $$sin^{7}p + cosec^{7}p$$ is
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By: anil on 05 May 2019 01.50 am
Expression : $$sin p + cosec p = 2$$ => $$sin p + frac{1}{sin p} = 2$$ => $$sin^2 p - 2sin p + 1 = 0$$ => $$(sin p -1)^2 = 0$$ => $$sin p = 1$$ and $$cosec p = 1$$ $$ herefore sin^7 p +cosec^7 p = 1 + 1 = 2$$
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