The general solution of tan x -tan- -2- -2 isA- None of these B- x-n -1n- n - ZC- x-n - n - ZD- x-2 n - n - Z

The correct option is C x=n π + α, n ϵ Z The general solution of tan x=tan α, α ϵ ( π/2,π/2) is x=n π + α, n ϵ Z ...

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Equations involving sinx + cosx and sinx.cosx

The general s...

Question

The general solution of $t a n x = t a n α, α ϵ (- \frac{π}{2}, \frac{π}{2})$ is

$x = n π + (- 1)^{n} α, n ϵ Z$

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$x = n π + α, n ϵ Z$

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$x = 2 n π \pm α, n ϵ Z$

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None of these

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Solution

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The general solution of $s i n x = s i n α, α ϵ [- \frac{π}{2}, \frac{π}{2}]$ is

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x

{cos}^{2} x = \frac{sin x tan x}{6}

sin 2 x = 4 cos x

sin x + cos x = \frac{3}{2}

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