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If sinA=-3/5 with A in QIII

0 votes
what is sin A/2 and csc A/2?
asked Apr 21, 2014 in TRIGONOMETRY by anonymous

1 Answer

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The expression and Angle A lies in Quadrant |||.

Let be an angle in standard position with (x, y) a  point on the terminal side of and .

y is negative in Quadrant |||, let image.

So, image

image

image

image

x is negative in Quadrant |||. So, image.

image

image

Half angle identities

Therefore, image

image

image

image

image

image

image

answered Apr 22, 2014 by ashokavf Scholar

The angle A lies in QIII, so image.

Therefore the angle A/2 lies in QII. The values of sin and csc functions are positive in QII.

Half angle identities : image.

image

image.

For the following, assume that all the given angles are in simplest form

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