Respuesta :
Θ = 5 pi/3
5pi/3 lies in quadrant IV = 2pi - pi/3
The reference angle is pi/3
Θ'= pi over 3, cosine is positive, sine and tangent are negative
5pi/3 lies in quadrant IV = 2pi - pi/3
The reference angle is pi/3
Θ'= pi over 3, cosine is positive, sine and tangent are negative
Answer:
the reference angle is given by [tex]\frac{\pi}{3}[/tex]
sine = negative
cosine = positive
tangent = negative
Step-by-step explanation:
We have been given the angle [tex]\theta=\frac{5\pi}{3}[/tex]
The angle lies in Quadrant IV. Hence, in order to find the reference angle, we can subtract this angle with [tex]2\pi[/tex]
Therefore, the reference angle is given by
[tex]2\pi - \frac{5\pi}{3} \\\\=\frac{\pi}{3}[/tex]
In Quadrant IV, cosine and secant functions are positive and rest trigonometric functions are negative.
Thus, we have
sine = negative
cosine = positive
tangent = negative
