You can put this solution on YOUR website! cos(-x)/1+sin(-x)=secx+tanx verify the identity
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Start with left side:
cos(-x)/1+sin(-x)
cos(x)/1-sin(x)
multiply top and bottom by (1+sin(x))
cos(x)(1+sin(x))/(1-sin(x))(1+sin(x))
cos(x)(1+sin(x))/(1-sin^2(x))
cos(x)(1+sin(x))/(cos^2(x))
(1+sin(x))/(cos(x))
1/cos(x)+sin(x)/cos(x)
sec(x)+tan(x)
verified:
left side=right side
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