Trigonometry Examples

$(\frac{3}{2}) = \frac{3}{\frac{2}{\sqrt{16 - \frac{3}{2} \cdot 2}}}$

Step 1

Simplify $\frac{3}{\frac{2}{\sqrt{16 - \frac{3}{2} \cdot 2}}}$ .

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Step 1.1

Multiply the numerator by the reciprocal of the denominator.

$\frac{3}{2} = 3 \frac{\sqrt{16 - \frac{3}{2} \cdot 2}}{2}$

Step 1.2

Simplify the numerator.

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Step 1.2.1

Cancel the common factor of $2$ .

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Step 1.2.1.1

Move the leading negative in $- \frac{3}{2}$ into the numerator.

$\frac{3}{2} = 3 \frac{\sqrt{16 + \frac{- 3}{2} \cdot 2}}{2}$

Step 1.2.1.2

Cancel the common factor.

$\frac{3}{2} = 3 \frac{\sqrt{16 + \frac{- 3}{2} \cdot 2}}{2}$

Step 1.2.1.3

Rewrite the expression.

$\frac{3}{2} = 3 \frac{\sqrt{16 - 3}}{2}$

Step 1.2.2

Subtract $3$ from $16$ .

$\frac{3}{2} = 3 \frac{\sqrt{13}}{2}$

Step 1.3

Combine $3$ and $\frac{\sqrt{13}}{2}$ .

$\frac{3}{2} = \frac{3 \sqrt{13}}{2}$

Step 2

Since $\frac{3}{2} \neq \frac{3 \sqrt{13}}{2}$ , there are no solutions.

No solution