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Domain and Range of Trigonometric Ratios

If sinθ - c...

Question

If $sin θ - cos θ = 0$ and $0 < θ \leq \frac{π}{2}$ , then $θ$ is equal to

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Solution

$sin θ - cos θ = 0$

$sin θ = cos θ$

$sin θ = sin (\frac{π}{2} - θ)$

$θ = (\frac{π}{2} - θ)$

$\Rightarrow 2 θ = \frac{π}{2}$

$\Rightarrow θ = \frac{π}{4}$

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Domain and Range of Trigonometric Ratios

Standard XII Mathematics

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