Mathematics

Mathematics

Problem

(i) Simplify the expression (1−sin⁡2θ)csc⁡θ−sin⁡θcot⁡θ.\left(1-\sin^{2}\theta\right)\csc \theta-\sin \theta\cot \theta. (ii) Hence, find its value for θ=45∘\theta=45^{\circ}.

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