Here's the question:

State an equivalent expression for$\displaystyle sec(7*pi/6)$in terms of the related acute angle.The answer is $\displaystyle sec(5*pi/6)$

What is the step-by-step solution. Thanks!

- Nov 19th 2008, 03:56 PMessaymastersEquivalent Expression in terms of Related Acute Angle [Year 11 Advanced Functions]
Here's the question:

**State an equivalent expression for**$\displaystyle sec(7*pi/6)$**in terms of the related acute angle.**The answer is $\displaystyle sec(5*pi/6)$

What is the step-by-step solution. Thanks! - Nov 19th 2008, 04:04 PMJhevon
the reference angle for $\displaystyle \frac {7 \pi}6$ is $\displaystyle \frac {\pi}6$.

$\displaystyle \frac {7 \pi}6$ is in the 3rd quadrant, and so we get a negative answer. since the secant function is negative in the second and third quadrant, the other reference angle that we could take is $\displaystyle \frac {5 \pi}6$

draw the unit circle at draw these angles in to see what's going on. note that $\displaystyle \frac {7 \pi}6$ and $\displaystyle \frac {5 \pi}6$ make an angle of $\displaystyle \frac {\pi}6$ with the negative x-axis. - Nov 19th 2008, 04:07 PMessaymasters
Cheers Jhevon!

So what I should do is pick an angle on a valid quadrant that has the same related angle, yeah?