Mathematics · Trigonometry

The expression (cos4θ - sin4θ + 2sin2θ + 3) / [(cosec θ + cot θ + 1)(cosec θ - cot θ + 1) - 2], where 0° < θ < 90°, is equal to:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

11/2 sin θ
22 sin θ✓
3sec θ
42 cosec θ

Correct answer

2 sin θ

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The expression (cos4θ - sin4θ + 2sin2θ + 3) / [(cosec θ + cot θ + 1)(cosec θ - cot θ + 1) - 2], where 0° < θ < 90°, is equal to:

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The expression (cos4θ - sin4θ + 2sin2θ + 3) / [(cosec θ + cot θ + 1)(cosec θ - cot θ + 1) - 2], where 0° < θ < 90°, is equal to:

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