#csc lambda = 17/8# in quadrant 2. What is #tan 2lambda#?
First of all, we must remember that
Thus, we can conclude that
Since sin is opposite/hypotenuse, we must find the adjacent side, because tan is opposite/adjacent. We can do this by pythagorean theorem. The following diagram shows how we can draw a right triangle on the cartesian plane to find the value of the six trigonometric ratios.
Rearranging our pythagorean theorem to find adjacent side
Therefore, the adjacent side from
Now, since it's
Hopefully this helps