Basic Math Examples

$\cos^{2} (t) - c t g {(t)}^{2} \div \sin^{2} (t) - t g {(t)}^{2}$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Rewrite the division as a fraction.

$\cos^{2} (t) - \frac{c t g {(t)}^{2}}{\sin^{2} (t)} - t g {(t)}^{2}$

Step 1.2

Multiply $t$ by ${(t)}^{2}$ by adding the exponents.

Tap for more steps...

Step 1.2.1

Move ${(t)}^{2}$ .

$\cos^{2} (t) - \frac{c ({(t)}^{2} t) g}{\sin^{2} (t)} - t g {(t)}^{2}$

Step 1.2.2

Multiply ${(t)}^{2}$ by $t$ .

Tap for more steps...

Step 1.2.2.1

Raise $t$ to the power of $1$ .

$\cos^{2} (t) - \frac{c ({(t)}^{2} t^{1}) g}{\sin^{2} (t)} - t g {(t)}^{2}$

Step 1.2.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\cos^{2} (t) - \frac{c t^{2 + 1} g}{\sin^{2} (t)} - t g {(t)}^{2}$

Step 1.2.3

Add $2$ and $1$ .

$\cos^{2} (t) - \frac{c t^{3} g}{\sin^{2} (t)} - t g {(t)}^{2}$

Step 1.3

Multiply $t$ by ${(t)}^{2}$ by adding the exponents.

Tap for more steps...

Step 1.3.1

Move ${(t)}^{2}$ .

$\cos^{2} (t) - \frac{c t^{3} g}{\sin^{2} (t)} - ({(t)}^{2} t) g$

Step 1.3.2

Multiply ${(t)}^{2}$ by $t$ .

Tap for more steps...

Step 1.3.2.1

Raise $t$ to the power of $1$ .

$\cos^{2} (t) - \frac{c t^{3} g}{\sin^{2} (t)} - ({(t)}^{2} t^{1}) g$

Step 1.3.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\cos^{2} (t) - \frac{c t^{3} g}{\sin^{2} (t)} - t^{2 + 1} g$

Step 1.3.3

Add $2$ and $1$ .

$\cos^{2} (t) - \frac{c t^{3} g}{\sin^{2} (t)} - t^{3} g$

Step 2

Simplify the expression.

Tap for more steps...

Step 2.1

Move $t^{3}$ .

$\cos^{2} (t) - \frac{c g t^{3}}{\sin^{2} (t)} - t^{3} g$

Step 2.2

Move $t^{3}$ .

$\cos^{2} (t) - \frac{c g t^{3}}{\sin^{2} (t)} - 1 g t^{3}$

Step 2.3

Move $\cos^{2} (t)$ .

$- \frac{c g t^{3}}{\sin^{2} (t)} - 1 g t^{3} + \cos^{2} (t)$

Step 2.4

Reorder $- \frac{c g t^{3}}{\sin^{2} (t)}$ and $- 1 g t^{3}$ .

$- 1 g t^{3} - \frac{c g t^{3}}{\sin^{2} (t)} + \cos^{2} (t)$