How do you simplify secant of theta minus cosine of theta?? It's supposed to be tan theta x sin theta, but I have no idea why. Reciprocal identities play a part somehow, but I'm not getting that answer... Thx!

1 Answer
Hriman
Mar 8, 2018

#tantheta*sintheta=tantheta*sintheta#
See below

Explanation:

#sectheta-costheta= tantheta*sintheta#
#1/costheta-costheta= tantheta*sintheta#
#1/costheta-cos^2theta/costheta= tantheta*sintheta#
#(1-cos^2theta)/costheta= tantheta*sintheta#
#(sin^2theta)/costheta= tantheta*sintheta#
#sintheta*sintheta/costheta= tantheta*sintheta#
#tantheta*sintheta=tantheta*sintheta#

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