SOLUTION: if tan 0= 2/3 and angle 0 is a principal angle that lies in a quadrant 3 such that 0° ≤ θ ≤ 360°, determine cos 0 and sin 0

Question 1199614: if tan 0= 2/3 and angle 0 is a principal angle that lies in a quadrant 3 such that 0° ≤ θ ≤ 360°, determine cos 0 and sin 0
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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if tan(a)= 2/3 and angle "a" is a principal angle that lies in quadrant 3
such that 0° ≤ a ≤ 360°, determine cos(a) and sin(a)
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Right angled triangle with the legs 2 and 3; the hypotenuse is = . sin(a) is ; sign "minus" is because angle "a" is in QIII. cos(a) is ; sign "minus" is due to the same reason.

Solved.

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

if tan 0= 2/3 and angle 0 is a principal angle that lies in a quadrant 3 such that 0° ≤ θ ≤ 360°, determine cos 0 and sin 0 As θ is in the 3rd quadrant, We then get:

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