Question

Let , −3−5 be a point on the terminal side of θ.Find the exact values of cosθ, secθ, and cotθ.

Answer 1

Consider the drawing below

Using pythagorean theorem, it follows

`\begin{gathered} x^2=5^2+3^2 \\ x=√(34) \end{gathered}`

Hence using trigonometrical ratio it follows:

`\cos\theta=-(3)/(√(34))`

This is simplified to give:

`\cos\theta=-(3√(34))/(34)`

Also

`\sec\theta=-(√(34))/(3)`

Finally it follows:

`\cot\theta=(3)/(5)`