# Equivalent Expression in terms of Related Acute Angle [Year 11 Advanced Functions]

• Nov 19th 2008, 03:56 PM
essaymasters
Equivalent Expression in terms of Related Acute Angle [Year 11 Advanced Functions]
Here's the question:
State an equivalent expression for $sec(7*pi/6)$ in terms of the related acute angle.

The answer is $sec(5*pi/6)$

What is the step-by-step solution. Thanks!
• Nov 19th 2008, 04:04 PM
Jhevon
Quote:

Originally Posted by essaymasters
Here's the question:
State an equivalent expression for $sec(7*pi/6)$ in terms of the related acute angle.

The answer is $sec(5*pi/6)$

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

the reference angle for $\frac {7 \pi}6$ is $\frac {\pi}6$.

$\frac {7 \pi}6$ 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 $\frac {5 \pi}6$

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

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