Question

Sin^4+ sin^2Acos^2A=sin^2A

Answer 1

Firstly take sin^2A common of LHS
sin^2 A( sin^2A +Cos^2A)
and we know sin^2A+cos^2A=1
Then LHS is sin^2A which is equal to RHS

Answer 2

LHS :

sin⁴A + sin²A * cos²A

Take sin²A common,

=> sin²A(sin²A + cos²A)

∴ sin²A + cos²A = 1

=> sin²A(1)

=> sin²A

RHS

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