Question

find the value of 32cotπ/2 - 8sec²π/3 + 8cot³π/6

Answer 1

Answer:

-32 + 24√3

Step-by-step explanation:

32cotπ/2 - 8sec²π/3 + 8cot³π/6

32 / tg(π/2) - 8 / cos²(π/3) + 8 / tg³(π/6)

32 / ∞ - 8 / (1/2)² + 8 / ((√3)/3)³

by definition a / ∞  = 0

0 - 8 / (1/4) + 8/(√27)/27

-32 + 216/√27

-32 + 216/3√3

-32 + 72/√3

-32 + 72√3 / √3√3

-32 + 72√3 / 3

-32 + 24√3