How do you find the quadrants in which the terminal side of #theta# must lie given #sintheta# is positive and #cos theta# is negative?

1 Answer
Jul 12, 2017

Answer:

#theta# is in #Q2#.

Explanation:

#sintheta# is postive in #Q1# and #Q2#, it is negative in #Q3# and #Q4# - so is #csctheta# as it is its reciprocal.

#costheta# is positive in #Q1# and #Q4#, it is negative in #Q2# and #Q3# - so is its reciprocal #sectheta#.

#tantheta# is positive in #Q1# and #Q3# and it is negative in #Q2# and #Q4# - so is #cottheta# as it is its reciprocal.

As #sintheta# is positive and #costheta# is negative,

#theta# is in #Q2#.