Trigonometry Examples

\frac{5 π}{6}

$\frac{5 π}{6}$

Step 1

To convert radians to degrees, multiply by

\frac{180}{π}

$\frac{180}{π}$ , since a full circle is

360 °

$360 °$ or

2 π

$2 π$ radians.

(\frac{5 π}{6}) \cdot \frac{180 °}{π}

$(\frac{5 π}{6}) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of

π

$π$ .

Tap for more steps...

Step 2.1

Factor

π

$π$ out of

5 π

$5 π$ .

\frac{π \cdot 5}{6} \cdot \frac{180}{π}

$\frac{π \cdot 5}{6} \cdot \frac{180}{π}$

Step 2.2

Cancel the common factor.

$\frac{π \cdot 5}{6} \cdot \frac{180}{π}$

Step 2.3

Rewrite the expression.

$\frac{5}{6} \cdot 180$

$\frac{5}{6} \cdot 180$

Step 3

Cancel the common factor of

$6$ .

Tap for more steps...

Step 3.1

Factor

$6$ out of

$180$ .

$\frac{5}{6} \cdot (6 (30))$

Step 3.2

Cancel the common factor.

$\frac{5}{6} \cdot (6 \cdot 30)$

Step 3.3

Rewrite the expression.

$5 \cdot 30$

$5 \cdot 30$

Step 4

Multiply

$5$ by

$30$ .

$150$

Step 5

Convert to a decimal.

$150 °$

$\frac{5 π}{6}$

(

(

)

)

|

|

[

[

]

]

√

√





≥

≥





°

°













7

7

8

8

9

9













≤

≤





θ

θ













4

4

5

5

6

6

/

/

^

^

×

×

>

>





π

π













1

1

2

2

3

3

-

-

+

+

÷

÷

<

<



















,

,

0

0

.

.

%

%



=

=









$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$