The sine of theta is given by the y-coordinate of point P:
[tex]\sin (\theta)=\frac{15}{17}[/tex]
The cosine of theta is given by the x-coordinate of point P, so we have:
[tex]\cos (\theta)=-\frac{8}{17}[/tex]
The tangent can be calculated as the sine divided by the cosine:
[tex]\tan (\theta)=\frac{\sin(\theta)}{\cos(\theta)}=\frac{\frac{15}{17}}{-\frac{8}{17}}=-\frac{15}{8}[/tex]
The cosecant is the inverse of the sine:
[tex]\csc (\theta)=\frac{1}{\sin (\theta)}=\frac{17}{15}[/tex]
The secant is the inverse of the cosine:
[tex]\sec (\theta)=\frac{1}{\text{cos(}\theta)}=-\frac{17}{8}[/tex]
And the cotangent is the inverse of the tangent:
[tex]\cot (\theta)=\frac{1}{\tan(\theta)}=-\frac{8}{15}[/tex]
