Precalculus Solutions | Expert Assistance for Problems & Examples

Are there any nice ways to prove that
$ζ (4) = \sum_{n = 1}^{\infty} \frac{1}{n^{4}} = \frac{π^{4}}{90}$

Kris Patton 2022-02-27

How to prove it?
$2 \sin x \leq x - \frac{π}{3} + \sqrt{3}$

Casertowm7 2022-02-27

Let $z = e^{i t} + 1$ where $0 \leq t \leq π$ , Find the trigonometric representation of $z^{2} + z + 1$

oskrnavih92j 2022-02-27

How can I show that:
$\prod_{k = 1}^{n} (1 + 2 \cos \frac{2 π \cdot 3^{k}}{3^{n} + 1}) = 1$

Arslan Lyons 2022-02-27

Solve this integral:
$\int_{0}^{π} \frac{3 \cos x + \sqrt{8 + \cos^{2} x}}{\sin x} x d x$

fecundavai3c 2022-02-27

Prove that:
$\sum_{n = 1}^{\infty} \frac{\sin (n θ)}{n} = \frac{π}{2} - \frac{θ}{2}$

leciazyg 2022-02-27

How to find the solution x of $2 {\sin 11}^{\circ} {\sin 71}^{\circ} \sin (x^{\circ} + 30^{\circ}) = {\sin 2013}^{\circ} {\sin 210}^{\circ}$

tressudasikx 2022-02-27

How to deterine the exact value of $\sin (585^{\circ})$ ?

cindakayumn 2022-02-27

Prove that $\tan^{- 1} (\frac{x \sin α}{1 - x \cos α}) - \tan^{- 1} (\frac{x \cos α}{\sin α})$ is independent of x and is equal to $\frac{π}{2} - α$

Richie Patterson 2022-02-27

How is
$\cos (\arcsin (x)) = \sin (\arccos (x)) = \sqrt{1 - x^{2}}$

Sarah-Louise Prince 2022-02-27

Solve equation
${(8 \cos^{3} x + 1)}^{3} = 162 \cos x - 27$

Kelvin Gregory 2022-02-27

Calculate
$lim_{n \to \infty} | \sin (π \sqrt{n^{2} + n + 1}) |$

Nettie Potts 2022-02-27

How do I prove that
$2 \cos (2 θ + \frac{π}{3}) \equiv - 2 \sin (2 θ - \frac{π}{6})$

Sarah-Louise Prince 2022-02-27

Is it possible to calculate the value of $δ$ from the relation
$δ = \sin^{- 1} (5.4 i)$ where $i = \sqrt{- 1}$ ?

leciazyg 2022-02-27

How to prove this identity
$π = \sum_{k = - \infty}^{\infty} {(\frac{\sin (k)}{k})}^{2}$ ?

cooopt392a0i 2022-02-27

Solving this equation
$10 \sin^{2} θ - 4 \sin θ - 5 = 0$ for $0 \leq θ < 360^{\circ}$

Arnold Herring 2022-02-27

Solving for a variable:
$I_{r} (n) = \cos^{n - 1} (\frac{45^{\circ}}{n - 1})$

Akash Matthews 2022-02-27

Can't find solutions for
$\tan 2 x = \tan x$

iristh3virusoo2 2022-02-26

Proving:
$\cos A \cdot \cos 2 A \cdot {\cos 2}^{2} A \cdot {\cos 2}^{3} A \dots {\cos 2}^{n - 1} A = \frac{{\sin 2}^{n} A}{2^{n} \sin A}$

Scoopedepalj 2022-02-26

How to solve this trigonometric equation $x = \frac{1}{2} \cos (\frac{2}{3} \sin (\frac{3}{4} x)) + 1$
The iterative solution seems to be 1.417.

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.

Precalculus

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