COMEDK · Maths · 8. Trigonometric Ratios & Identities
The value of \(\dfrac{1}{2 \sin 10^{\circ}}-2 \sin 70^{\circ}\) is
- A \(-\dfrac{3}{2}\)
- B \(0\)
- C \(2\)
- D \(1\)
Answer & Solution
Correct Answer
(D) \(1\)
Step-by-step Solution
Detailed explanation
Let \(E = \dfrac{1}{2 \sin 10^{\circ}} - 2 \sin 70^{\circ}\). Expressing the expression with a common denominator: \(E = \dfrac{1 - 4 \sin 10^{\circ} \sin 70^{\circ}}{2 \sin 10^{\circ}}\) Using the product-to-sum formula \(2 \sin A \sin B = \cos(A - B) - \cos(A + B)\):…
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