trig identities

tanx/(1+cosx)+sinx/(1-cosx)=cotx+secxcscx

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1 Answer

tan(x)/(1+cos(x))+sin(x)/(1-cos(x))=

(tan(x)(1-cos(x))+sin(x)(1+cos(x)))/(1-cos2(x))=

(tan(x)(1-cos(x))+sin(x)(1+cos(x)))/sin2(x)=

(sec(x)-1+1+cos(x))/sin(x)=

sec(x)cosec(x)+cot(x) QED

by Top Rated User (1.1m points)

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