Nicholas R. answered • 07/21/16

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^{2}+ 4

^{2})

^{1/2 }= 5. Now we can easily see that the sin(theta) = opposite / hypotenuse = -3/5 (since we are in quadrant 3). The cos(theta) = adjacent / hypotenuse = -4/5 (3rd quadrant). The other trig functions are simple to find. sec(theta) = 1/cos(theta) = -5/4 ; csc(theta) = 1/sin(theta) = -5/3 ; cot(theta) = 1/tan(theta) = 4/3.