Question

find the exact values of theta

cos theta=-1/4 tan theta >0

cot theta= 4/3 cos theta <0


show me step by step how to do this

Answer 1

cos is -ve and tan +ve.. the problem is in the 3rd quadrant...

3rd quadrant the angle is

\[180 + \theta\]

find

Answer 2

find cos ^(-1) (1/4) = and add to 180

Answer 3

cot = 4/3 cot = 1/tan tan +ve and cos -ve means 3rd quadrant again

find tan^-1(3/4) and then add the angle to 180