# trig

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Find sin(2theta) if tan of theta = 7/24, pi < theta < 3pi/2 ?

• trig -

If tanØ = 7/24 and Ø is in III
then sinØ = -7/25 and cosØ = -24/25

sin (2Ø) = 2sinØcosØ
= 2(-7/25)(-24/25) = 336/625

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