if cos a + cos^2 a = 1.Then sin^2 +sin^4 is equal to
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==> cos a + cos² a = 1
==> cos a + 1 - sin² a = 1
==> cos a = sin² a ....(1)
Square both sides:
==> cos² a = sin⁴ a ...(2)
Adding (1) and (2)
=> cos a + cos² a = sin² + sin⁴ a
=> sin² + sin⁴ a = 1 { given, cos a + cos² a = 1 }
Hence,
=>> sin² a + sin⁴ a = 1
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