Question

Prove that :
1/2((sinQ/1+cosQ)+(1+cosQ/SinQ))=1/SinQ​

Answer 1

Answer:

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