Practicing Success
If cosec θ + cot θ = 2, then sin θ is : |
$\frac{3}{5}$ $\frac{2}{5}$ $\frac{3}{4}$ $\frac{4}{5}$ |
$\frac{4}{5}$ |
cosec θ + cot θ = 2 -----(1) { we know, cosec²θ - cot²θ = 1 } so, cosec θ - cot θ = \(\frac{1 }{cosec θ + cot θ}\) ⇒ cosec θ - cot θ = \(\frac{1 }{2}\) -----(2) Adding equation 1 and 2. 2 cosec θ = 2 + \(\frac{1 }{2}\) = \(\frac{5 }{2}\) cosec θ = \(\frac{5 }{4}\) { we know, sin θ = \(\frac{1 }{cosec θ}\) } so, sin θ = \(\frac{4 }{5}\)
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