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

User Generated

vfnnp4

Mathematics

Description

cosθ=2/5, tan θ<0   Find sin θ.

User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Explanation & Answer

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


Anonymous
Really useful study material!

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Related Tags