Question

i dont understand this.
evaluate the trig functions using its period as an aid.
sin5π

what is this "period"

Answer 1

i believe period is one revolution which in radians is \(2\pi\)

Answer 2

so \(5 \pi\) is 2 revolutions and a half

Answer 3

If you want to be explained in degrees.
360 + 360 + 180
720 + 180

720 degrees = 0

180 = pi degrees.

Answer 4

so \(\sin (5\pi) = \sin (\pi)\) make sense?

Answer 5

Just calculate:
\(\sin\pi\)
\(\cos \pi\)
\(\tan \pi\)

Answer 6

Or in degrees:
\(\sin 180^{\circ}\)
\(\cos 180^{\circ}\)
\(\tan 180^{\circ}\)