Question

find the supplement and complement of θ=3π/5

Answer 1

supplement would be \(\pi - 3\pi / 5\)

complement will be \(\pi/2 - 3\pi/5\)

Answer 2

Supplement means two angles added up to get 180 degrees, Complement means two angles added up to get 90 degrees:

The question wants the angles in radians, so if you remember from your trig class:

\[90^o = \pi/2\]
\[180^o = \pi\]

So to find the supplementary angle to (3pi/5), we set up the algebraic equation:

(theta) + 3pi/5 = pi

(theta) = 2pi/5

So the supplementary angle is 2pi/5.

Next is the complimentary angle, we set up the equation:

(theta) + 3pi/5 = pi/2

(theta) = -pi/10

So the complementary angle is -pi/10