If cot θ=78, evaluate: (1+sin θ)(1- sin θ)/(1+cosθ)(1-cosθ)
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Answer:
49/64 or 6084
Step-by-step explanation:
= > (1+sin θ)(1- sin θ)/(1+cosθ)(1-cosθ)
= > (1 - sin²θ ) / (1 - cos²θ )
1 - sin²A = cos²A ; 1 - cos²A = sin²A
= > cos²θ / sin²θ
= > cot²θ
= > (7/8)² or 78²
= > 49/64 or 6084
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