Question

4(sin4 60° + cos4 30° ) – 3(tan sq. 60°-tan sq. 45°) + 5 cos sq. 45°.​

Answer 1

Step-by-step explanation:

4(sin4 60° + cos4 30° ) – 3(tan sq. 60°-tan sq. 45°) + 5 cos sq. 45°

=4{(√3/2)⁴+(√3/2)⁴} - 3{(√3)²- (1)²}+5(1/√2)²

=4{(9/16)+(9/16)} - 3(3-1) + 5(1/2)

=4×(9/8)-(3×2)+(5/2)

=(9/2)-6+(5/2)

=(9/2)+(5/2)-6

=7-6

=1

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