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The Value of (cosec θ + cot θ) × (1 – cos θ) is: -

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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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