How do you prove cosx= 1/(cosx-sinx tanx)cosx=1cosx−sinxtanx?

1 Answer
Binayaka C. · Jarni Renz
Feb 27, 2016

R.H.S=L.H.S (proved)R.H.S=L.H.S(proved)

Explanation:

I assume the minus sign in denominator is incorrect. It should be + sign instead of - sign. Then
RHS = 1/(cosx + sinx. sinx/cosx) = (1)/((cos^2x+sin^2x)/cosx) = cosx/(cos^2x+sin^2x) = cosx :. R.H.S=L.H.S (proved)

where:

cos^2x + sin^2x =1

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