Question

Evaluate each of the following:
4(sin460°+cos430°)-3(tan²60°-tan²45°)+5cos²45°

Answer 1

Answer:

4 (sin^4 60°+cos^4 30°)-3 ( tan^2 60°- tan^2 45°)+5 (cos^2 45°)

Solution:-

=> 4 {(root of 3/2)^4+(root of 3/2)^4}-3 {( root of 3)^2-1}+5 (1/ root of 2)^×

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

=> 4 (18/16)-3 (2)+5/2

=> 18/4-6+5/2

=> 18-24+10/4

=> -6+10/4

=> 4/4

=> 1