Trigonometry Examples

$b^{2} = {13.7}^{2} + 20.1 - 2 \cdot 13.7 (20.1 \cos (66.5))$

Step 1

Simplify ${13.7}^{2} + 20.1 - 2 \cdot 13.7 (20.1 \cos (66.5))$ .

Tap for more steps...

Step 1.1

Simplify each term.

Tap for more steps...

Step 1.1.1

Raise $13.7$ to the power of $2$ .

$b^{2} = 187.69 + 20.1 - 2 \cdot 13.7 (20.1 \cos (66.5))$

Step 1.1.2

Multiply $- 2$ by $13.7$ .

$b^{2} = 187.69 + 20.1 - 27.4 (20.1 \cos (66.5))$

Step 1.1.3

Multiply $20.1$ by $\cos (66.5)$ .

$b^{2} = 187.69 + 20.1 - 27.4 \cdot 8.01485628$

Step 1.1.4

Multiply $- 27.4$ by $8.01485628$ .

$b^{2} = 187.69 + 20.1 - 219.60706221$

Step 1.2

Simplify by adding and subtracting.

Tap for more steps...

Step 1.2.1

Add $187.69$ and $20.1$ .

$b^{2} = 207.79 - 219.60706221$

Step 1.2.2

Subtract $219.60706221$ from $207.79$ .

$b^{2} = - 11.81706221$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$b \approx - 26.1520342, 26.1520342$

Step 3