Answer to Question #144325 in Trigonometry for Shahir Sheikh

Question #144325
Verify the identity on your own paper and upload a picture of your work.

tan(x)csc(x)cos(x)=1
1
Expert's answer
2020-11-22T12:50:41-0500

tan(x)csc(x)cos(x)=1tan(x)csc(x)cos(x)=1

But

tan(x)=sin(x)cos(x)tan(x)=\frac{sin(x)}{cos(x)} and csc(x)=1sin(x)csc(x)=\frac{1}{sin(x)}

Simplifying L.H.S

sin(x)cos(x)×1sin(x)×cos(x)\frac{sin(x)}{cos(x)}\times\frac{1}{sin(x)}\times cos(x)

=1=1

Since L.H.S=1 and R.H.S =1. Hence verified.


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