Calculus Examples

$f (\frac{π}{6}) = \sin (3 x)$

Step 1

Replace the variable $x$ with $\frac{π}{6}$ in the expression.

$f (\frac{π}{6}) = \sin (3 (\frac{π}{6}))$

Step 2

Simplify the result.

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Step 2.1

Cancel the common factor of $3$ .

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Step 2.1.1

Factor $3$ out of $6$ .

$f (\frac{π}{6}) = \sin (3 (\frac{π}{3 (2)}))$

Step 2.1.2

Cancel the common factor.

$f (\frac{π}{6}) = \sin (3 (\frac{π}{3 \cdot 2}))$

Step 2.1.3

Rewrite the expression.

$f (\frac{π}{6}) = \sin (\frac{π}{2})$

Step 2.2

The exact value of $\sin (\frac{π}{2})$ is $1$ .

$f (\frac{π}{6}) = 1$

Step 2.3

The final answer is $1$ .

$1$

Step 3