Write this expression in terms of sine and cosines and simplify? (Cosßtanß+1) (Sinß-1)

1 Answer
Noah G
Mar 27, 2018

It simplifies to #-cos^2beta#.

Explanation:

Recall that #tanbeta = sinbeta/cosbeta#.

#=(cosbeta(sinbeta/cosbeta) + 1)(sin beta - 1)#

#=(sin beta + 1)(sinbeta- 1)#

#=sin^2beta - 1#

Recall that #sin^2x +cos^2x= 1#.

#=-cos^2beta#

Hopefully this helps!

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