Prove cot^2a_cos^2a=cot^2acos^2a
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Answer:
QED
Cot²a - Cos²a = Cot²a.Cos²a
Step-by-step explanation:
cot^2a_cos^2a=cot^2acos^2a
=> Cot²a - Cos²a = Cot²a.Cos²a
Cot a = Cosa/Sina
=> Cos²a/Sin²a - Cos²a = Cot²a.Cos²a
=> Cos²a/Sin²a ( 1 - Sin²a) = Cot²a.Cos²a
=> (Cosa/Sina)²(1-Sin²a) = Cot²a.Cos²a
1-Sin²a = Cos²a & Cot a = Cosa/Sina
=> Cot²a. Cos²a = Cot²a.Cos²a
=> LHS = RHS
QED
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