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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.

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

Verificación de expertos
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: