Question
Using the unit circle calculate the sine and cosine values of the angle below. Find sin(t) and cos(t) when t=(2pi )/(3) radians.
Solution
4.1
(262 Votos)
Henrique
Veterano · Tutor por 12 anos
Resposta
To find the sine and cosine values of the angle
radians using the unit circle, we can follow these steps:1. **Locate the angle on the unit circle**: - The angle
radians is in the second quadrant because it is greater than
but less than
.2. **Determine the reference angle**: - The reference angle for
is
.3. **Use the unit circle values for the reference angle**: - For
, we know from the unit circle that:
4. **Determine the signs of sine and cosine in the second quadrant**: - In the second quadrant, sine is positive and cosine is negative.Therefore, we have:
So, the values are: