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Question
The Value of (cosec θ + cot θ) × (1 – cos θ) is:
Options
cos θ
sin θ
cosec θ
sec θ
MCQ
Solution
sin θ
Explanation:
(cosec θ + cot θ) × (1 – cos θ)
= `(1/sin theta + cos theta/sin theta) xx (1 - cos theta)`
= `((1 + cos theta))/sin theta xx (1 - cos theta)`
= `((1)^2 - (cos theta)^2)/sin theta`
= `(1 - cos^2 theta)/sin theta`
= `sin^2 theta/sin theta`
= sin θ
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Trigonometry (Entrance Exam)
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