jigmewangmost jigmewangmost

11-08-2021
Mathematics

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prove that.....sin^4α+2sin^2αcos^2α+cos^4α=1

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jasongggg jasongggg

11-08-2021

Step-by-step explanation:

You can actually factorise this equation like how you factorise quadratic equations,

LHS = sin⁴a + 2sin²a cos²a + cos⁴a

= (sin²a + cos²a)²

Again, by using the identity sin²a + cos ²a = 1,

= (1)²

= 1

= RHS (Proven)

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