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WBJEE · Maths · Trigonometric Ratios & Identities

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

  1. A 0
  2. B \(\frac{\pi}{4}\)
  3. C \(\frac{\pi}{2}\)
  4. D \(\frac{3 \pi}{4}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{3 \pi}{4}\)

Step-by-step Solution

Detailed explanation

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