compute cos(t) and cot(t)

Question

If
sin(t) = -(rt 3)/7 
and
pi < t < 3pi/2

compute cos(t) and cot(t): 

 

Exact answers only; decimal approximations and trigonometric functions will be marked incorrect.

Answer 1

t is in QIII. cos t is negative.

If sin t = -√3 / 7, then cos t = -2√10 / 7         Use Pythagoras

 

Can you determine cot t?