Trigonometry Examples

$h = v \sin (x) t + \frac{1}{2} \cdot (g t^{2})$

Step 1

Rewrite the equation as $v \sin (x) t + \frac{1}{2} \cdot (g t^{2}) = h$ .

$v \sin (x) t + \frac{1}{2} \cdot (g t^{2}) = h$

Step 2

Simplify the left side.

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Step 2.1

Simplify $v \sin (x) t + \frac{1}{2} \cdot (g t^{2})$ .

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Step 2.1.1

Multiply $\frac{1}{2} (g t^{2})$ .

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Step 2.1.1.1

Combine $g$ and $\frac{1}{2}$ .

$v \sin (x) t + \frac{g}{2} t^{2} = h$

Step 2.1.1.2

Combine $\frac{g}{2}$ and $t^{2}$ .

$v \sin (x) t + \frac{g t^{2}}{2} = h$

Step 2.1.2

Reorder factors in $v \sin (x) t + \frac{g t^{2}}{2}$ .

$v t \sin (x) + \frac{g t^{2}}{2} = h$