Trigonometry Examples

tan (θ) = u n d e f i n e d

$\tan (θ) = u n d e f i n e d$

Step 1

Simplify

u n d e f i n e d

$u n d e f i n e d$ .

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Step 1.1

Multiply

n

$n$ by

n

$n$ by adding the exponents.

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Step 1.1.1

Move

n

$n$ .

tan (θ) = u (n \cdot n) d e f i e d

$\tan (θ) = u (n \cdot n) d e f i e d$

Step 1.1.2

Multiply

n

$n$ by

n

$n$ .

tan (θ) = u n^{2} d e f i e d

$\tan (θ) = u n^{2} d e f i e d$

tan (θ) = u n^{2} d e f i e d

$\tan (θ) = u n^{2} d e f i e d$

Step 1.2

Multiply

d

$d$ by

d

$d$ by adding the exponents.

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Step 1.2.1

Move

d

$d$ .

tan (θ) = u n^{2} (d \cdot d) e f i e

$\tan (θ) = u n^{2} (d \cdot d) e f i e$

Step 1.2.2

Multiply

d

$d$ by

d

$d$ .

tan (θ) = u n^{2} d^{2} e f i e

$\tan (θ) = u n^{2} d^{2} e f i e$

tan (θ) = u n^{2} d^{2} e f i e

$\tan (θ) = u n^{2} d^{2} e f i e$

Step 1.3

Multiply

u n^{2} d^{2} e f i e

$u n^{2} d^{2} e f i e$ .

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Step 1.3.1

Raise

e

$e$ to the power of

1

$1$ .

tan (θ) = u n^{2} d^{2} f i (e^{1} e)

$\tan (θ) = u n^{2} d^{2} f i (e^{1} e)$

Step 1.3.2

Raise

e

$e$ to the power of

1

$1$ .

tan (θ) = u n^{2} d^{2} f i (e^{1} e^{1})

$\tan (θ) = u n^{2} d^{2} f i (e^{1} e^{1})$

Step 1.3.3

Use the power rule

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

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

tan (θ) = u n^{2} d^{2} f i e^{1 + 1}

$\tan (θ) = u n^{2} d^{2} f i e^{1 + 1}$

Step 1.3.4

Add

1

$1$ and

1

$1$ .

tan (θ) = u n^{2} d^{2} f i e^{2}

$\tan (θ) = u n^{2} d^{2} f i e^{2}$

tan (θ) = u n^{2} d^{2} f i e^{2}

$\tan (θ) = u n^{2} d^{2} f i e^{2}$

tan (θ) = u n^{2} d^{2} f i e^{2}

$\tan (θ) = u n^{2} d^{2} f i e^{2}$

Step 2

Take the inverse tangent of both sides of the equation to extract

θ

$θ$ from inside the tangent.

θ = arctan (u n^{2} d^{2} f i e^{2})

$θ = \arctan (u n^{2} d^{2} f i e^{2})$

Step 3

The inverse tangent of

arctan (u n^{2} d^{2} f i e^{2})

$\arctan (u n^{2} d^{2} f i e^{2})$ is undefined.

Undefined

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

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