Trigonometry Examples

cos (2 x) \cdot cos (2 x)

$\cos (2 x) \cdot \cos (2 x)$

Step 1

Raise

cos (2 x)

$\cos (2 x)$ to the power of

1

$1$ .

{cos}^{1} (2 x) cos (2 x)

$\cos^{1} (2 x) \cos (2 x)$

Step 2

Raise

cos (2 x)

$\cos (2 x)$ to the power of

1

$1$ .

{cos}^{1} (2 x) {cos}^{1} (2 x)

$\cos^{1} (2 x) \cos^{1} (2 x)$

Step 3

Use the power rule

a^{m} a^{n} = a^{m + n}

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

{cos (2 x)}^{1 + 1}

${\cos (2 x)}^{1 + 1}$

Step 4

Add

1

$1$ and

1

$1$ .

{cos}^{2} (2 x)

$\cos^{2} (2 x)$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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