Question

Prove that 4 ( sin power 4 30 degree + cos power 4 60 degree ) - 3 ( cos power 2 45 degree - sin power 90 degree ) = 2

Answer 1

4(sin⁴30+cos⁴60)-3(cos²45 -sin 90)

=4{(½)⁴+(½)⁴} -3(½-1)

=4×⅛+³/2

=2 (Proved)