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If cosec θ + cot θ = 5, then cosec θ is equal to _________. |
$(5 + \frac{1}{5})$ $\frac{1}{2}(3 + \frac{1}{3})$ $\frac{1}{2}(5 + \frac{1}{5})$ $(3 + \frac{1}{3})$ |
$\frac{1}{2}(5 + \frac{1}{5})$ |
cosec θ + cot θ = 5 ----(1) { we know, cosec² θ - cot² θ = 1 } cosec θ - cot θ = \(\frac{1}{5}\) -----(2) On adding equation 1 and 2. 2 cosec θ = 5 + \(\frac{1}{5}\) cosec θ = \(\frac{1}{2}\) [ 5 + \(\frac{1}{5}\) ] |
