prove that -
4(sin^4 30°+cos^4 60°) -
3(cos^2 45°- sin^2 90°) = 2
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This is the required proof
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HELLO DEAR,
4(SIN⁴30 + COS⁴60) - 3(COS²45 - SIN²90)
=> 4[(1/2)⁴ + (1/2)⁴] - 3] - 3[(1/√2)² - (1)² ]
=> 4[1/16 + 1/16] - 3(1/2 - 1)
=> 4× 2/16 - 3× (-1/2)
=> 1/2 + 3/2
=> 4/2 = 2
I HOPE ITS HELP YOU DEAR,
THANKS
4(SIN⁴30 + COS⁴60) - 3(COS²45 - SIN²90)
=> 4[(1/2)⁴ + (1/2)⁴] - 3] - 3[(1/√2)² - (1)² ]
=> 4[1/16 + 1/16] - 3(1/2 - 1)
=> 4× 2/16 - 3× (-1/2)
=> 1/2 + 3/2
=> 4/2 = 2
I HOPE ITS HELP YOU DEAR,
THANKS
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