Find cos θ if csc θ = 2 and θ is in quadrant II.

Question

Mathematics

Deon

28 January, 06:28

Find cos θ if csc θ = 2 and θ is in quadrant II.

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Nickolas Tanner · Answer 1

Cosecant is one of the six trigonometric identities which is equal to the reciprocal of sine function. In this case, theta is equal to sin - 1 = 1/2 equal to 30 degrees. Since this is in quadrant II, the angle is 180 - 30 or 150 degrees. cos 150 is equal to - 0.866 or - ssqrt 3 over 2.