Question

prove that 4($sin^{4}$ 30° + $cos^{4}$ 60°) - 3 ($cos^{2}$ 45° - $sin^{2}$ 90°) = 2

Answer 1

Step-by-step explanation:

prove that 4($sin^{4}$ 30° + $cos^{4}$ 60°) - 3 ($cos^{2}$ 45° - $sin^{2}$ 90°) = 2

Answer 2

Answer:

It is given that,

4(sin⁴30°+cos⁴60°)-3(cos²45°-sin²90°)

4((1/2)⁴+(1/2)⁴)-3((1/√2)²-1)

4(1/16+1/16)-3(1/2-1)

4(2/16)-3(-1/2)

4(1/8)+3/2

1/2+3/2=4/2=2

Hope it helps....