Question

Find the exact value
sec^2pi/6 - 4

Answer 1

sec(2pi/6)-4?

Answer 2

sec^(2pi/6)-4 has no angle, it just tells you the power to raise sec to

Answer 3

\[\sec ^2\pi/6-4\]

Answer 4

@larryboxaplenty

Answer 5

How'd you get that? @larryboxaplenty

Answer 6

Is it sec^2(2pi/6) -4, or sec^2( (2pi/6) -4)?

Answer 7

If the -4 is not in the sec^2, then:

Answer 8

sec^2(x) = 1/cos(x) * 1/cos(x).
1/cos(pi/6) = 2/sqrt(3)
1/cos(pi/6) * (1/cos(pi/6) = (2/sqrt(3))^2 = 4/3
4/3 - 4 = 8/3