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Sin x = 12/13; x is in Quad 2. Find exact values of sin x/2, cos x/2, tan x/2. Use Half Angle Identities.

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Sin x = 12/13; x is in Quad 2. Find exact values of sin x/2, cos x/2, tan x/2. Use Half-Angle Identities.
asked May 3 in PRECALCULUS by anonymous

1 Answer

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The trigonometric identity is image

Here, x is second quadrant sin function has positive sign and all are negative sign.

By using Pythagorean theorem, then

image

Half angle formulas:

image

The half angle identities are

image

answered May 4 by Anney Mentor

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