Prove that:- (1-sinA)(1+sinA)÷(1+cosA)(1-cosA)=cot^2A
1 answer:
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
sin²x + cos²x = 1 , then
sin²x = 1 - cos²x and cos²x = 1 - sin²x
Consider the left side
← expand numerator/denominator using FOIL
=
=
=
=
= cot²A = right side , thus proven
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