Prove that cos^2A + sin^2A +2cos^2A×sin^2A = 1.
Please answer my question plz.
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Step-by-step explanation:
Taking LHS,
= Cos⁴A+Sin⁴A+2 cos²A sin²A
=(cos²A+sin²A)² [cos²x+sin²x = 1]
= (1)²= 1 = RHS
Answered by
1
Answer:
Step-by-step explanation:
See,
the question is in the form a² + b² +2 ab = (a+b)²
So, Cos^4 A+ Sin^4A+ 2Cos²A sin²A
= (Sin²A + Cos²A)² [Sin²A + Cos²A=1]-> trigonometric identity
= (1)²
=1
Hope it helps:)
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