Question

Find the exact value of each of the remaining trigonometric functions of 0.cos = -12/13, 0 in Quadrant II

Answer 1

We can represent the information in a diagram:

Therefore, the triangle can be brought out as

To find the value of the unknown side, x, we can use the Pythagorean Theorem:

Therefore,

`\begin{gathered} 13^2=12^2+x^2 \\ x^2=13^2-12^2 \\ x^2=169-144=25 \\ x=\sqrt[]{25} \\ x=5 \end{gathered}`

Therefore, sin θ can be given using the ratio opposite : hypotenuse.

Hence

`\sin \theta=(5)/(13)`