How do you solve the equation $sectheta=2.77$ for $0<theta<2pi$ ?

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Answer 1 · 2017-05-27T12:15:23

Solution: For $0 < theta < 360^0 ; Theta ~~ 68.84^0 (2dp), Theta ~~ 291.16^0 (2dp)$

$sec theta =2.77 or 1/cos theta =2.77 or cos theta = 1/2.77 ~~0.3610(4dp) :. theta = cos ^-1(0.3610) ~~68.84^0 (2dp)$

$cos theta$ is also positive in 4th quadrant $:. theta=(360-68.84) ~~291.16^0(2dp)$

Solution: For $0 < theta < 360^0 ; Theta ~~ 68.84^0 (2dp), Theta ~~ 291.16^0 (2dp)$ [Ans]

How do you solve the equation sectheta=2.77sectheta=2.77 for 0<theta<2pi0<theta<2pi?