The value of (cosec A + cot A)(1 - cos A

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

The value of (cosec A + cot A)(1 - cos A) is:

Options:

cos A

tan A

cot A

sin A

Correct Answer:

sin A

Explanation:

(cosec A + cot A)(1 - cos A)

= ( $\frac{1}{sinA}$ + $\frac{cos}{sinA}$)(1 - cos A)

= ( $\frac{1 + cosA}{sinA}$ )(1 - cos A)

= ( $\frac{1 - cos²A}{sinA}$ )

{ using , sin²A + cos²A = 1 }

= ( $\frac{sin²A}{sinA}$ )

= sinA