Mathematics
SherrellBeemon
2016-04-18 07:38:06
How do I prove that (1+sinx)/cosx=cos(-x)/(1+sine(-x))
ANSWERS
JannLevites
2016-04-18 11:04:41

[latex]dfrac{1+sin x}{cos x}=dfrac{cos (-x)}{1+sin(-x)}\ dfrac{1+sin x}{cos x}=dfrac{cos x}{1-sin x}\ cos^2 x=(1+sin x)(1-sin x)\ cos^2 x=1-sin^2 x\ sin^2 x+cos^2 x=1 [/latex]

ADD ANSWER