Question 744514
Prove the following identity:
2 sec^2 = 1/1- sin x + 1/1+ sin x,
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{{{2sec^2(x)=1/(1-sin(x))+1/(1+sin(x))}}}
start with right side
{{{1/(1-sin(x))+1/(1+sin(x))}}}
LCD:(1+sin(x))(1+sin(x))=1-sin^2(x)
{{{(1+sin(x)+1-sin(x))/(1-sin^2(x))=2/cos^2(x)=2sec^2(x)}}}
verified: right side=left side