Trigonometry Examples

$\sin (270) + \sin (90)$

Step 1

Simplify each term.

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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 sine is negative in the third quadrant.

$- \sin (90) + \sin (90)$

Step 1.2

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

$- 1 \cdot 1 + \sin (90)$

Step 1.3

Multiply $- 1$ by $1$ .

$- 1 + \sin (90)$

Step 1.4

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

$- 1 + 1$

Step 2

Add $- 1$ and $1$ .

$0$