Find the Exact Value 2sin(pi/4)+3tan(pi/4)

$2 \sin (\frac{π}{4}) + 3 \tan (\frac{π}{4})$

Step 1

The exact value of $\sin (\frac{π}{4})$ is $\frac{\sqrt{2}}{2}$ .

$2 \frac{\sqrt{2}}{2} + 3 \tan (\frac{π}{4})$

Step 2

Cancel the common factor of $2$ .

Cancel the common factor.

$2 \frac{\sqrt{2}}{2} + 3 \tan (\frac{π}{4})$

Rewrite the expression.

$\sqrt{2} + 3 \tan (\frac{π}{4})$

Step 3

The exact value of $\tan (\frac{π}{4})$ is $1$ .

$\sqrt{2} + 3 \cdot 1$

Step 4

Multiply $3$ by $1$ .

$\sqrt{2} + 3$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\sqrt{2} + 3$

Decimal Form:

$4.41421356 \dots$