# How do you find the value for #sin2theta#, #cos2theta#, and #tan2theta# and the quadrant in which #2theta# lies given #tantheta=-5/12# and #theta# is in quadrant II?

##### 1 Answer

t is in Quadrant III.

#### Explanation:

First, find cos t by using trig identity:

Since t is in Quadrant II, cos t is negative. Take the negative value.

Find sin t.

Since t is in Quadrant II, then sin t is positive.

You may check the results by calculator.