if cos theta =-3/5, theta lies in third quadrant evaluate sin theta-cos theta/sin theta + cos theta
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1
Answer:
1/7
Step-by-step explanation:
θ lies in 3rd quadrant means , Tanθ will be positive . Which means we must take -ve value of sinθ
cosθ = -3/5
sinθ = √[1-(cosθ)^2] = √[1-9/25]
= -4/5
(Sinθ - cosθ)/(sinθ + cosθ)
=[ -4/5 - (-3/5)] /( -4/5 -3/5)
= (-1/5)/(-7/5)
= 1/7
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