How do you evaluate $sec ({sin}^{- 1} (- 0.0399))$ $sec(sin^-1(-0.0399))$ ?

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Answer 1 · 2016-12-16T06:52:40

1.0016

Let $a = {sin}^{- 1} (- 0.0399) \in Q_{4}$ $a=sin^(-1)(-0.0399) in Q_4$ , wherein sec is positive. Then,

$sin a = - 0.0399$ $sin a = -0.0399$ .

The given expression = sec a = 1/cos a=1/sqrt(1-sin^2a)=1/sqrt(1-

(-0.0399)^2)=1.0016#, nearly..

How do you evaluate sec(sin^-1(-0.0399))sec(sin−1(−0.0399))sec(sin^-1(-0.0399))?