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Find the value of sin (π + α)
1. sin α
2. -sin α
3. cos α
4. -cos α
5. None of these

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Correct Answer - Option 2 : -sin α

Concept:

The table below shows the sign of trigonometric ratios in different quadrants:

T – Ratio’s

Quadrant I

Quadrant II

Quadrant III

Quadrant IV

Sin

+

+

-

-

Cos

+

-

-

+

Cosec

+

+

-

-

Sec

+

-

-

+

Tan

+

-

+

-

Cot

+

-

+

-

 

Calculation:

(π + θ) lies in 3rd quadrant

As we know sin θ gives negative value in 3rd quadrant

Therefore, sin (π + α) = -sin α

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