How do you find the exact value of:

Question

4sin 60degrees - 3tan 135degrees

Answer 1

You should know the trig ratios of the 30-60-90 and the 45-45-90 right-angled triangles

sin 60° = √3/2
so 4sin60° = 4(√3/2) = 2√3

tan 135° = -tan 45° = -1

now put it all together to get
2√3 + 3