If \(\sin \theta+\cos \theta=0\) and \(0 < \theta < \pi\), then \(\theta\), 0, \(\frac{\pi}{4}\), \(\frac{\pi}{2}\), \(\frac{3 \pi}{4}\)

If \(\sin \theta+\cos \theta=0\) and \(0 < \theta

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If \(\sin \theta+\cos \theta=0\) and \(0 < \theta < \pi\), then \(\theta\)

MathematicsTrigonometric Ratios & IdentitiesWBJEEWBJEE 2011

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2911 Upvotes Verified Answer

The correct answer is: \(\frac{3 \pi}{4}\)

Hints: \(\sin \theta+\cos \theta=0\)
\(\Rightarrow \tan \theta=-1 \quad \theta=\frac{3 \pi}{4}\)

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