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Answer to Question #21700 in Trigonometry for Meredith
Question #21700
how do you simplify tan(theta) sin(theta) sec(theta)?
Expert's answer
We know that
tan(theta)=sin(theta)/cos(theta)
sec(theta)=1/cos(theta)So we have tan(theta) sin(theta) sec(theta)=[sin(theta)/cos(theta) ] * sin (theta) * [ 1/cos(theta) ]=sin^2 (theta) /
cos^2(theta)= =[ sin(theta)/cos(theta)]^2=[tan(theta)]^2
tan(theta)=sin(theta)/cos(theta)
sec(theta)=1/cos(theta)So we have tan(theta) sin(theta) sec(theta)=[sin(theta)/cos(theta) ] * sin (theta) * [ 1/cos(theta) ]=sin^2 (theta) /
cos^2(theta)= =[ sin(theta)/cos(theta)]^2=[tan(theta)]^2
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