Question

Find the following values from the information given
sec(theta°); cos(theta°) = −0.9

Answer 1

sec(154.158°) = -1.1111

Explanation:

given data

cos(theta°) = −0.9

to find out

sec(theta°)

solution

as we know that given equation

cos(theta°) = −0.9

theta° =
`cos^(-1) (-0.9)`

theta° = 154.158 .................1

so now we find

sec(theta°)

and we know

sec(theta°) =
`(1)/(cos (theta))` .................2

sec(theta°) =
`(1)/(cos (154.158))` ..............3

sec(theta°) =
`(1)/((-0.9))`

sec(154.158°) = -1.1111