How do you find the two quadrants that #theta# could terminate given #tantheta=7/24#?

Question

6311 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-02-24T12:23:02

Hence #tan theta# is positive in I and III quadrants for values of theta.

#tan^-1 (7/24) = 0.2838^c# or # 16.26^@ , 196.26^@#

enter image source here

As May be seen from the chart above,

#tan theta# is positive in I and III quadrants.

#tan (pi + theta) = tan theta#

Hence #tan theta# is positive in I and III quadrants for values of theta. #tan^-1 (7/24)#

#theta = tan^-1 (7/24) = 0.2838^c# or # 16.26^@ , 196.26^@#