# #csc lambda = 17/8# in quadrant 2. What is #tan 2lambda#?

##### 1 Answer

First of all, we must remember that

#### Explanation:

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

Substituting:

Hopefully this helps