Calculus Question

Question

tan 3Ø = cot 6Ø

What is the first step to find Ø?

a. 6Ø - 3Ø = 180

b. 6Ø + 3Ø = 180

c. 6Ø - 3Ø = 90

d. 6Ø + 3Ø = 90

And what does Ø = ?

a. 20°

b. 10°

c. 60°

d. 30°

Answer 1

tan 3 theta = cot 6 theta

tan 3 theta = 1/tan 6 theta

theta must be 10 for this statement to be true

tan 30 = 1/tan 60

0.577 = 0.577

answer 1 would be D: 6 theta + 3 theta = 90

answer 2 would be B: 10