Question

Find the values of the trigonometric functions of theta from the given information
sec(theta)= 2 , sin(theta) < 0

Answer 1

\[\huge \text{sec}(\theta)=2, \text{sin}(\theta)<0\]
\[sec(\theta)=1/cos(\theta) \]

Answer 2

so 1/cos = 2 or 2cos = 1 or cos = 1/2

so you have 4th quadrant... cos is positive and sin is negative so the angle is 360 - th

\[\cos^{-1}(1/2) = 60\]

so \[\theta = 300\]