Camille L.

asked • 11/04/22

Trig Extra Credit Question

how would you solve for theta in the problem cos(theta)* sin(theta)= 0.14?

1 Expert Answer

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Raymond B. answered • 11/04/22

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cosTsinT = (1/2)sin2T = .14 using the double angle sine formula, sin2T=2sinTcosT

sin2T = 2(.14)= .28

use a calculator with an inverse trig function

2T = sin^-1(.28) = about 16.26 degrees

Theta = T= 16.26/2 = 8.13 degrees



cos8.13sin8.13 = about (.99)(.14) = about .14




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