Precalculus Solutions | Expert Assistance for Problems & Examples

How to combine complex powers?
It is not posssible to combine complex powers in the usual way:
${(x^{y})}^{z} = x^{y z}$
There was mention of multi-valued functions, is there some theory that makes this all work out correctly?

2022-01-17

Why $\sqrt{- 1 \cdot - 1} \neq {\sqrt{- 1}}^{2} ?$

2022-01-17

What is $\sqrt{i}$ ?
If $i = \sqrt{- 1}$ is $\sqrt{i}$ imaginary?
Is it used or considered often in mathematics? How is it notated?

Daniell Phillips 2022-01-17

Prove trigonometric an identity
$\frac{2 \cos α - 1}{\sqrt{3} - 2 \sin α} = \tan (\frac{α}{2} + \frac{π}{6})$

Lucille Davidson 2022-01-17

$\int_{0}^{1398 π} {(\sin^{2} x)}^{\cos^{2} x} d x = ?$

Priscilla Johnston 2022-01-17

Denest $\sqrt{3 + \sin \frac{π}{4} - 4 \cos \frac{π}{8}}$ in terms of possible trigonometric functions.

Walter Clyburn 2022-01-17

Finding n if $| \sum_{r = 0}^{3 n - 1} β^{2^{r}} | = 4 \sqrt{2}$ where $β = \exp (\frac{i 2 π}{7})$

lugreget9 2022-01-17

Proving $\frac{1}{\sec ϕ - \tan ϕ} - \frac{1}{\sec ϕ + \tan ϕ} = 2 \tan ϕ$

Gregory Emery 2022-01-17

Prove that $(\cos A + \sin A) (\cos 2 A + \sin 2 A) = \cos A + \sin 3 A$

Jessie Lee 2022-01-17

Prove that $lim_{t \to \infty} \int_{1}^{t} \sin (x) \sin (x^{2}) d x$ converges

Carol Valentine 2022-01-17

Prove that: $\sin β \sin (\frac{π}{3} - β) \sin (\frac{π}{3} + β) = \frac{14}{\sin 3} β$

Lennie Davis 2022-01-17

Solving $\tan^{4} x + \cot^{4} x + \cot 2 x = 2$

William Boggs 2022-01-17

Evaluate $lim_{x \to 0} {\ln (\frac{\cos x}{1 + \sin x})}^{\frac{1}{x}}$

sputneyoh 2022-01-17

I'm trying to solve the integral $\int_{0}^{π} \frac{2}{3 + \sin (2 θ)} d θ$
I know the initial trigonometric substitution changes the integral to $\int_{0}^{π} \frac{2}{z^{2} + 6 i z - 1} d z$
and we use the substitutions $d θ = \frac{d z}{i z} and \sin (2 θ) = \frac{z^{2} - z^{- 2}}{2 i}$ to get there.
My best attempt is reworking the integral denominator to $6 i + z^{2} - \frac{1}{z^{2}} (i z)$

zakinutuzi 2022-01-17

Show that $I m (\frac{e^{i θ}}{1 - x e^{i θ}}) = \frac{\sin (θ)}{x^{2} - 2 x \cos (θ) + 1}$

Alan Smith 2022-01-17

Finding the value of $\sin^{- 1} \frac{12}{13} + \cos^{- 1} \frac{45}{+} \tan^{- 1} \frac{63}{13}$

David Troyer 2022-01-17

Find the minimum value of the function $\frac{\sin 5 x}{\sin^{5} x}$

idiopatia0f 2022-01-17

How to evaluate:
${\cos 24}^{\circ} - {\cos 84}^{\circ} - {\cos 12}^{\circ} + {\sin 42}^{\circ}$

Pamela Meyer 2022-01-17

Help me prove the exponential inequality
$2^{\sin^{2} x} + 2^{\cos^{2} x} \leq 3$
Ive

Joan Thompson 2022-01-17

Prove $\frac{π}{\sin^{2} \frac{π}{x}} > \frac{x}{\tan \frac{π}{x}}$

Precalculus problems and solutions are hard to find online even though this topic is quite popular among college students majoring in Engineering. Keeping this fact in mind, we decided to provide you with a list of questions and answers that will help you with various precalculus problems. Regardless if it is related to equations or any other problem, these precalculus problems and composite functions examples and solutions below will help you see the logic and compare solutions as you check your original task.

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