Let f = 1 1 + ( tan) and s = 1 89 f, then the value of 2 s - 25 =

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Solution

Q.
Let $f (θ) = \frac{1}{1 + {(\tan θ)}^{π}}$ and $s = \sum_{θ = 1 °}^{89 °} f (θ)$ , then the value of $\sqrt{2 s - 25} =$ ______

Ans.
(8)

$f (θ) = \frac{{(\cos θ)}^{x}}{{(\cos θ)}^{x} + {(\sin θ)}^{x}}, f (θ) + f (\frac{π}{2} - θ) = 1$

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