1. If sin θ + cosec θ = 2 then the value of $$sin^{5}θ + cosec^{5} θ$$ is
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By: anil on 05 May 2019 01.58 am
Expression : $$sin heta + cosec heta = 2$$ => $$sin heta + frac{1}{sin heta} = 2$$ => $$sin^2 heta - 2sin heta + 1 = 0$$ => $$(sin heta -1)^2 = 0$$ => $$sin heta = 1$$ and $$cosec heta = 1$$ $$ herefore sin^5 heta +cosec^5 heta = 1 + 1 = 2$$
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