Question

Find the value of the following:

sin² 30° – 2 cos³ 60° + 3 tan⁴ 45°

Answer 1

sin 30° = `1/2`, cos 60° = `1/2`, tan 45° = 1

sin² 30° – 2 cos³ 60° + 3 tan⁴ 45°

= `(1/2)^2 - 2(1/2)^3 + 3(1)^4`

= `(1/4) - 2(1/8) + 3`

= `(1/4) - (1/4) + 3`

= 3