Trigonometry Examples

$0.5 (\cos (160) + i \sin (160))$

Step 1

Simplify each term.

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Step 1.1

Evaluate $\cos (160)$ .

$0.5 (- 0.93969262 + i \sin (160))$

Step 1.2

Evaluate $\sin (160)$ .

$0.5 (- 0.93969262 + i \cdot 0.34202014)$

Step 1.3

Move $0.34202014$ to the left of $i$ .

$0.5 (- 0.93969262 + 0.34202014 i)$

$0.5 (- 0.93969262 + 0.34202014 i)$

Step 2

Simplify by multiplying through.

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Step 2.1

Apply the distributive property.

$0.5 \cdot - 0.93969262 + 0.5 (0.34202014 i)$

Step 2.2

Multiply.

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Step 2.2.1

Multiply $0.5$ by $- 0.93969262$ .

$- 0.46984631 + 0.5 (0.34202014 i)$

Step 2.2.2

Multiply $0.34202014$ by $0.5$ .

$- 0.46984631 + 0.17101007 i$

$- 0.46984631 + 0.17101007 i$

$- 0.46984631 + 0.17101007 i$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$