find the exact value of the indicated trigonometric function of theta.

Mathematics
Tutor: None Selected Time limit: 1 Day

cosθ=2/5, tan θ<0   Find sin θ.

Dec 12th, 2014

cos theta = 2/5

sin theta = sqrt(1-cos theta^2)

sin theta = sqrt( 1-4/25) = sqrt(21/25) = sqrt(21)/5= ±0.916515

Since tan theta < 0, sin theta = -0.916515 = -0.92

Dec 12th, 2014

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