Evaluate cos theta and sin theta.

User Generated

ythreereb3

Mathematics

Question Description

Suppose 0 < theta < pi/2 and tan theta= 7/8 .Evaluate cos theta and sin theta.

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Explanation & Answer

tan theta = 7/8

tan theta ^2 =49/64

sec theta ^2 =1+49/64 =113/64

cos theta^2 =64/113

sin theta ^2 =49/113

sin theta =7/square root (113)=0.6585

cos theta = 8/square root (113)=0.7526

znquninag (2757)
University of Virginia

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