Math, asked by Anonymous, 1 year ago

Prove that sec^-1(-x) = Π - sec^1(x)

Answers

Answered by Anonymous
3

well its obvious as in 2 nd quadrant sec is negative

Well lets prove

sec^-1( -x) = y

secy = - x

- secy = x

sec( pie -y) = x

take sec^-1

sec^-1 sec( pie- y) = sec^-1x

sec^-1x = pie- y

y= pie - sec^-1x

sec^-1(-x) = pie - sec^-1x

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