Find the value of theta(theta less than 90°) if cos theta/1-sin theta+cos theta /1+sin theta=4
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Find the value of theta(theta less than 90°) if cos theta/1-sin theta+cos theta /1+sin
Step-by-step explanation:
Cos theta/1-sin theta+cos theta/1+sin theta
cos theta (1+sin theta)+cos theta(1-sin theta)/1¹-sin²theta
cos theta+cos theta sin theta +cos theta-sin theta cos theta/1-sin² theta
cos theta+cos theta/cos² theta
2cos theta/cos²theta
2/cos theta=4
cos theta=1/2
theta=60° _____________(as cos 60°=1/2)
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