Question

evaluate :4(sin^4 30+cos^4 30)-3(tan^2 60-tan^2 45)+5cos^2 45​

Answer 1

Answer:

3

Step-by-step explanation:

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

sin 30°=1/2

cos 30°=√3/2

tan 60°=√3

tan 45°=1

cos 45°=1/√2

4((1/2)^4+(√3/2)^4)-3((√3)²-(1)²)+5(1/√2)²

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

4(10/16)-2+5/2

10/4-2+5/2

LCM=4

10-8+10/4

12/4

3