Mathematics · Trigonometry

For 0° < θ < 90°, simplify the following expression: tan(θ) + cot(θ) 1 + cos(θ) - sin 2 (θ) × cot(θ)(1 + cos(θ)) √(sec 2 (θ) + cosec 2 (θ))

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1cosec(θ)✓
2cot(θ)
3sec(θ)
4tan(θ)

Correct answer

cosec(θ)

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For 0° < θ < 90°, simplify the following expression: tan(θ) + cot(θ) 1 + cos(θ) - sin 2 (θ) × cot(θ)(1 + cos(θ)) √(sec 2 (θ) + cosec 2 (θ))

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For 0&deg; < &theta; < 90&deg;, simplify the following expression: tan(&theta;) + cot(&theta;) 1 + cos(&theta;) - sin 2 (&theta;) &times; cot(&theta;)(1 + cos(&theta;)) &radic;(sec 2 (&theta;) + cosec 2 (&theta;))

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For 0° < θ < 90°, simplify the following expression: tan(θ) + cot(θ) 1 + cos(θ) - sin 2 (θ) × cot(θ)(1 + cos(θ)) √(sec 2 (θ) + cosec 2 (θ))