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Prove that:(sintheta)/(1+costheta)+(1+co...

Prove that:`(sintheta)/(1+costheta)+(1+costheta)/(sintheta)=2cosectheta`

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(sintheta+costheta)(tantheta+cottheta)=

(1+costheta)(1-costheta) is equal to:

lim_(theta rarr 0) (1-cos theta)/(theta. costheta)=