Question

Rationalize any denominators containing radicals that you encounter in the answer. Enter the exact, fully simplified answer.

Answer 1

Given:

The terminal point is

`((1)/(2),(3)/(7))`

To find:

The six trigonometric ratios.

Step-by-step explanation:

According to the problem,

The opposite side is

`(3)/(7)`

The adjacent side is

`(1)/(2)`

The hypotenuse side will be,

`\begin{gathered} hyp^2=opp^2+adj^2 \\ hyp^2=((3)/(7))^2+((1)/(2))^2 \\ =(9)/(49)+(1)/(4) \\ =(36+49)/(196) \\ hyp^2=(85)/(196) \\ hyp=\sqrt{(85)/(196)} \\ hyp=(√(85))/(√(196)) \end{gathered}`

Then, the six trigonometric ratios are,