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What is (sintheta+1)/(costheta)equal to ? |
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Answer» `(sintheta+costheta-1)/(sintheta+costheta+1)` `(becausesin2theta=(2tantheta)/(1+tan^(2)theta)andcos2 theta=(1-tan^(2)theta)/(1+tan^(2)theta))` `=((1+"tan"(theta)/(2))^(2))/((1+"tan"(theta)/(2))(1+"tan"(theta)/(2)))` `=(1+"tan"(theta)/(2)"cos"(theta)/(2)+2"sin"^(2)(theta)/(2))/(2"sin"(theta)/(2) "cos "(theta)/(2)-2" sin"^(2)(theta)/(2))` `=(sintheta+1-costheta)/(sintheta-1+costheta)` `(becausesin2 theta=2sinthetacosthetaand COS2 theta=1-2sin^(2)theta)` |
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