Calculus Examples

$270 °$

Step 1

Evaluate $\cos (270 °)$ .

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Step 1.1

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the third quadrant.

$- \cos (90)$

Step 1.2

The exact value of $\cos (90)$ is $0$ .

$- 0$

Step 1.3

Multiply $- 1$ by $0$ .

$0$

Step 2

Evaluate $\sin (270 °)$ .

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Step 2.1

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the third quadrant.

$- \sin (90)$

Step 2.2

The exact value of $\sin (90)$ is $1$ .

$- 1 \cdot 1$

Step 2.3

Multiply $- 1$ by $1$ .

$- 1$

Step 3

Set up the coordinates $(\cos (θ), \sin (θ))$ .

$(0, - 1)$