`sec(arcsin(4/5))` Find the exact value of the expression. (Hint: Sketch a right triangle.)

1 Answer

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balajia | College Teacher | (Level 1) eNoter

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Taking 4 as oppsite side and 5 as the hypotenuse ,adjacent side will be equal to `sqrt(5^2-4^2)=3.`

`sin^-1(4/5)=sec^-1(5/3)`

`sec(sin^-1(4/5))=sec(sec^-1(5/3)) = 5/3.`