Math  /  Trigonometry

QuestionFind the six trigonometric functions for the angle at point (-5, 6). Hint: Draw the reference triangle.

Studdy Solution
Plug in the values for the sine, cosine, and tangent of θ to calculate the cosecant, secant, and cotangent of θ.
csc(θ)=616\csc(\theta) = \frac{\sqrt{61}}{6}sec(θ)=615\sec(\theta) = \frac{\sqrt{61}}{-5}cot(θ)=56\cot(\theta) = \frac{-5}{6}So, the exact values of the six trigonometric functions of the angle θ aresin(θ)=661\sin(\theta) = \frac{6}{\sqrt{61}}cos(θ)=561\cos(\theta) = \frac{-5}{\sqrt{61}}tan(θ)=65\tan(\theta) = \frac{6}{-5}csc(θ)=616\csc(\theta) = \frac{\sqrt{61}}{6}sec(θ)=615\sec(\theta) = \frac{\sqrt{61}}{-5}cot(θ)=56\cot(\theta) = \frac{-5}{6}

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