From the graph of y=tanx we see that, for x∈ ( π,π), tanx gt;0 for nbsp;( π, π2) ∪ (0,π2) ...

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Solving Simultaneous Trigonometric Equations

For x∈ -π,π, ...

Question

For $x \in (- π, π), t a n x > 0$ for

(- π, π)

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(- \frac{π}{2}, 0) \cup (\frac{π}{2}, π)

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(- \frac{π}{2}, \frac{π}{2})

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(- π, - \frac{π}{2}) \cup (0, \frac{π}{2})

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Solution

The correct option is D $(- π, - \frac{π}{2}) \cup (0, \frac{π}{2})$
From the graph of $y = tan x$ we see that,

for $x \in (- π, π),$
$tan x > 0$ for $(- π, - \frac{π}{2}) \cup (0, \frac{π}{2})$

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Similar questions

x \in (0, π) \cup (π, 2 π),

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\int_{0}^{π} \frac{x t a n x}{s e c x + t a n x} d x_{=}

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