Prove that :
1/2((sinQ/1+cosQ)+(1+cosQ/SinQ))=1/SinQ
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Step-by-step explanation:
Step-by-step explanation:
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To prove ,
(sinQ + 1 + cosQ ) (sinQ - 1 + cosQ) secQ cosecQ = 2
LHS
( sinQ + cosQ + 1 ) ( sin Q + cos Q + 1 ) secQ cosecQ .
{(sinQ + cosQ )² - 1²} secQ cosecQ
{sinQ² + cosQ² + 2 sinQ cosQ - 1} secQ cosecQ
{1 - 1 + 2 sinQ cosQ} = 2
∴ LHS = RHS
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