Question

PRECAL Find the compliment of 0.25Find the supplement of 7π/8

Answer 1

The unit of measurement is not specified, so for the sake of this problem, we'll assume it's radians (If you need it in degrees, I'll be happy to edit).

Find the compliment of 0.25:

Complementary angles add up to 90 degrees. In radians, this would be π/2. If you're unsure how I got this, check degrees to radian conversions.

The compliment of 0.25 would be $\dfrac{\pi}{2} - \dfrac{1}{4}$ (1/4=0.25)

$\dfrac{\pi}{2} - \dfrac{1}{4}$

$= \dfrac{\pi}{2} - \dfrac{1}{4} = \dfrac{2\pi-1}{4}$

(This is the simplified form in case you're homework needs it in this form)

That's the compliment. In decimal (rounded to the nearest hundredth), this would be 1.32 radians.

Find the supplement of 7π/8:

Supplementary angles add up to 180 degrees. In radians, this would be π.

The supplement would be the following:

$\pi- \dfrac{7\pi}{8}$

$=\dfrac{8\pi}{8}-\dfrac{7\pi}{8}=\dfrac{\pi}{8}$

Thus, the supplement is π/8 radians. If any of this struck you as confusing, comment and I'd be happy to clarify.