Solve the equation
$2 tan^{- 1} (cos x) = tan^{- 1} (2 csc x)$

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Solve the equation

2 tan^{- 1} (cos x) = tan^{- 1} (2 csc x)

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Text solutionVerified

2 t a n^{- 1} (cos x) = t a n^{- 1} (2 cosec x)

t a n^{- 1} (\frac{2 cos x}{1 - co s ^{2} x}) = t a n^{- 1} (2 cosec x)

\frac{2 cos x}{s i n ^{2} x} = 2 cosec x

co t x = 1

x = \frac{π}{4}

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Question Text	Solve the equation $2 tan^{- 1} (cos x) = tan^{- 1} (2 csc x)$
Answer Type	Text solution:1
Upvotes	150