Trigonometry Examples

$(30 + x) (\sin (31)) = x (\sin (52))$

Step 1

Simplify $(30 + x) \sin (31)$ .

Tap for more steps...

Step 1.1

Evaluate $\sin (31)$ .

$(30 + x) \cdot 0.51503807 = x (\sin (52))$

Step 1.2

Apply the distributive property.

$30 \cdot 0.51503807 + x \cdot 0.51503807 = x (\sin (52))$

Step 1.3

Simplify the expression.

Tap for more steps...

Step 1.3.1

Multiply $30$ by $0.51503807$ .

$15.45114224 + x \cdot 0.51503807 = x (\sin (52))$

Step 1.3.2

Move $0.51503807$ to the left of $x$ .

$15.45114224 + 0.51503807 x = x (\sin (52))$

Step 2

Simplify $x (\sin (52))$ .

Tap for more steps...

Step 2.1

Evaluate $\sin (52)$ .

$15.45114224 + 0.51503807 x = x \cdot 0.78801075$

Step 2.2

Move $0.78801075$ to the left of $x$ .

$15.45114224 + 0.51503807 x = 0.78801075 x$

Step 3

Move all terms containing $x$ to the left side of the equation.

Tap for more steps...

Step 3.1

Subtract $0.78801075 x$ from both sides of the equation.

$15.45114224 + 0.51503807 x - 0.78801075 x = 0$

Step 3.2

Subtract $0.78801075 x$ from $0.51503807 x$ .

$15.45114224 - 0.27297267 x = 0$

Step 4

Subtract $15.45114224$ from both sides of the equation.

$- 0.27297267 x = - 15.45114224$

Step 5

Divide each term in $- 0.27297267 x = - 15.45114224$ by $- 0.27297267$ and simplify.

Tap for more steps...

Step 5.1

Divide each term in $- 0.27297267 x = - 15.45114224$ by $- 0.27297267$ .

$\frac{- 0.27297267 x}{- 0.27297267} = \frac{- 15.45114224}{- 0.27297267}$

Step 5.2

Simplify the left side.

Tap for more steps...

Step 5.2.1

Cancel the common factor of $- 0.27297267$ .

Tap for more steps...

Step 5.2.1.1

Cancel the common factor.

$\frac{- 0.27297267 x}{- 0.27297267} = \frac{- 15.45114224}{- 0.27297267}$

Step 5.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 15.45114224}{- 0.27297267}$

Step 5.3

Simplify the right side.

Tap for more steps...

Step 5.3.1

Divide $- 15.45114224$ by $- 0.27297267$ .

$x = 56.60325539$