Question

4(sin^4 30°)+4(cos^4 60°)-3(cos^2 45°- sin^2 90°)

Answer 1

Answer:

sin 30 = 1/2 cos 60 = 1/2

cos 45 = 1/√2. sin 90 = 1

4(sin⁴ 30) + 4(cos⁴ 60 ) - 3(cos² 45 - sin² 90)

=> 4(1/2)⁴ + 4(1/2/⁴ - 3 [ (1/√2)² - 1² ]

=> 4*1/8 + 4*1/8 - 3(1/2 - 1)

=> 1/2 + 1/2 - 3 (-1/2)

=> 1/2 + 1/2 + 3/2

=> 5/2 Answer