Trigonometry Examples

$y = 0.3 \sin (135)$

Step 1

Simplify $0.3 \sin (135)$ .

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Step 1.1

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

$y = 0.3 \sin (45)$

Step 1.2

The exact value of $\sin (45)$ is $\frac{\sqrt{2}}{2}$ .

$y = 0.3 \frac{\sqrt{2}}{2}$

Step 1.3

Multiply $0.3 \frac{\sqrt{2}}{2}$ .

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Step 1.3.1

Combine $0.3$ and $\frac{\sqrt{2}}{2}$ .

$y = \frac{0.3 \sqrt{2}}{2}$

Step 1.3.2

Multiply $0.3$ by $\sqrt{2}$ .

$y = \frac{0.42426406}{2}$

Step 1.4

Divide $0.42426406$ by $2$ .

$y = 0.21213203$