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WBJEE · Maths · Trigonometric Ratios & Identities

The approximate value of \(\sin 31^{\circ}\) is

  1. A \(>0.5\)
  2. B \(>0.6\)
  3. C \( < 0.5\)
  4. D \( < 0.4\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(>0.5\)

Step-by-step Solution

Detailed explanation

We know that, \(\sin 30^{\circ}=\frac{1}{2}=0.5\) In \(1^{\text {st }}\) quadrant \(\sin x\) is increasing function. \(\sin 31^{\circ}>\sin 30^{\circ}\) \(\Rightarrow \quad \sin 31^{\circ}>0.5\)