SOLUTION: using trigonometric fundamental identities prove that sina/(1+cosa)+(1+cosa)/sina=2csca

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Question 697819: using trigonometric fundamental identities prove that sina/(1+cosa)+(1+cosa)/sina=2csca
Answer by lwsshak3(11628) About Me  (Show Source):
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using trigonometric fundamental identities prove that sina/(1+cosa)+(1+cosa)/sina=2csca
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sin/(1+cos)+(1+cos)/sin=2csc
start with left side:
sin/(1+cos)+(1+cos)/sin
sin^2+(1+cos)^2)/sin(1+cos)
(sin^2+1+2cos+cos^2)/sin(1+cos)
(1+1+2cos)/sin(1+cos)
(2+2cos)/sin(1+cos)
2(1+cos)/sin(1+cos)
2/sin
2csc
verified: left side=right side