Question:
In part-5 of Introduction to Trigonometry- Example-If cot theta=7/8,evaluate (1 sin theta)(1-sin theta)/(1 cos theta)(1-cos theta) i think so the last step is wrong 113-64/113-7=49/106,But you gave the answer is 49/64 so that i think so it is wrong
Answer:
Given cotθ = 7/8
Now {(1 + sinθ)*(1 - sinθ)}/{(1 + cosθ)*(1 - cosθ)}
= (1 - sin2 θ)/(1 - cos2 θ)
= cos2 θ/sin2 θ {since sin2 θ + cos2 θ = 1 }
= cot2 θ
= (7/8)2
= 49/64
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