Evaluate each of the following 4(sin^4 60° + cos^4 30°) − 3(tan^2 60° − tan^2 45°) + 5 cos^2 45°

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asked Feb 15, 2018 in Mathematics by sforrest072 (157,439 points) 61 410 949

Evaluate each of the following

4(sin4 60° + cos4 30°) − 3(tan2 60° − tan2 45°) + 5 cos2 45°

1 Answer

+1 vote
answered Feb 15, 2018 by mdsamim (213,225 points) 5 10 15
selected Feb 15, 2018 by sforrest072
 
Best answer

4(sin4 60° + cos4 30°) − 3(tan2 60° − tan2 45°) + 5 cos45° …(i)
By trigonometric ratios we have

By substituting above values in (i), we get

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