Mathematics: When ø=5pi/3, what are the reference angle and the sign values for sine, cosine, and tangent? (2 When points) O = 3, cosine is positive, sine and tangent are negative 57 O = 3, sine and cosine are positive, tangent is negative O = TT 3, sine and cosine are positive, tangent is negative - O = St 3, cosine is positive, sine and tangent are negative

Properties of Multiplication ..Step-by-step explanation:...

When ø=5pi/3, what are the reference angle and - id536665954, ashleybarrera2000

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27.01.2022

the reference angle is given by $\frac{\pi}{3}$

sine = negative

cosine = positive

tangent = negative

Step-by-step explanation:

We have been given the angle $\theta=\frac{5\pi}{3}$

The angle lies in Quadrant IV. Hence, in order to find the reference angle, we can subtract this angle with $2\pi$

Therefore, the reference angle is given by

$2\pi - \frac{5\pi}{3} \\\\=\frac{\pi}{3}$

In Quadrant IV, cosine and secant functions are positive and rest trigonometric functions are negative.

Thus, we have

sine = negative

cosine = positive

tangent = negative

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