Precalculus Solutions | Expert Assistance for Problems & Examples

Solve:
$lim_{x \to 0} \frac{x^{3}}{\tan^{3} (2 x)}$

klancimarsn 2022-03-01

A is a $2 \times 2$ matrix with elgenvectors $v_{1} = [\begin{matrix} 1 \\ - 1 \end{matrix}]$ and $v_{2} = [\begin{matrix} 1 \\ 1 \end{matrix}]$ corresponding to eigenvalues $λ_{1} = \frac{1}{2}$ and $λ_{2} = 2$ , respectively,and $x = [\begin{matrix} 7 \\ 1 \end{matrix}]$ ,
Find $A^{8} x$

Akbar Witt 2022-03-01

2nd solution of $\cos x \cos 2 x \cos 3 x = \frac{1}{4}$
Attempt explained:
$(2 \cos x \cos 3 x) \cos 2 x = \frac{1}{2}$
$(\cos 4 x + \cos 2 x) \cos 2 x = \frac{1}{2}$ Let ,y=2x
$\cos^{2} y + \cos y (2 \cos^{2} y - 1) = \frac{1}{2}$

Daanish Wilcox 2022-03-01

What is derivative of
$\frac{x}{2 - \tan x}$

Nettie Potts 2022-03-01

I want to find out value of this expression
$\cos^{2} 48^{\circ} - \sin^{2} 12^{\circ}$

Nyah Conrad 2022-03-01

Show that the function
$f (x) = \cos (x) + \cos (x \sqrt{2})$
is not periodic.

Tagiuraoob 2022-03-01

Let $p = {\sin 24}^{\circ}$
1. Then what would $\cos (24^{\circ})$ be in terms of p?
2. What would $\sin (168^{\circ}) \cdot \sin (- 78^{\circ})$ be in terms of p?

klamytewoc 2022-03-01

Prove that $x - \frac{x^{3}}{3!} < \sin (x) < x$ for all x>0

Aine Sellers 2022-03-01

Find the value:
$\frac{\tan θ}{1 - \cot θ} + \frac{\cot θ}{1 - \tan θ}$

sacateundisco8i3 2022-03-01

I'm trying to solve a differential equation which is :
$y^{'} (t) - 4 y (t) = \cos (3 t)$

Jordana Boyd 2022-03-01

Why is this silution to $2 \sin^{2} x (x) + \sin (x) - 1 = 0$ incorrect?

fecundavai3c 2022-03-01

Finding the limit of
$\frac{1 - \cos (2 x)}{1 - \cos (3 x)}$ for $x \to 0$

Rupert Albert 2022-03-01

Verify the following identity:
$\frac{\tan x}{1 + \sec x} + \frac{1 + \sec x}{\tan x} = 2 \csc x$

The temperature of coffee sold at the Coffee Bean Cafe follows the normal probability distribution, with a mean of 150 degrees. The standard deviation of this distribution is 5 degrees. (a) What is the probability that the coffee temperature is between 150 degrees and 154 degrees? (b) What is the probability that the coffee temperature is more than 164 degrees?

eleticsty5 2022-02-28

How do you solve this equation for A:
$\sin (5 A) + \cos (5 A) \sin (A) - \cos (3 A) = 0$

Tomasz Gibson 2022-02-28

If $\sin x + \cos x = \frac{\sqrt{3} + 1}{2}$ then $\tan x + \cot x =$ ?

Reginald Owens 2022-02-28

My question is, how can I solve the following derivative question?
$y = \sin (\arctan x) + \tan (\arcsin x)$

OIPLZLqm6 2022-02-28

I would like to find the apothem of a regular pentagon. It follows from
$\cos \frac{2 π}{5} = \frac{- 1 + \sqrt{5}}{4}$
But how can this be proved (geometrically or trigonometrically)?

rhita3yp 2022-02-28

How can you prove that:
$\sum_{k = 1}^{n - 1} \tan^{2} \frac{k π}{2 n} = \frac{(n - 1) (2 n - 1)}{3}$
for every integer $n \geq 1$ .

Jasper Carlson 2022-02-28

Given $\sec^{4} θ = \frac{16}{9}$ or $\sec^{4} = \frac{{(4)}^{2}}{{(3)}^{2}}$
$\Rightarrow \sec^{2} θ = \frac{4}{3} \Rightarrow θ = \sec^{- 1} (\sqrt{\frac{4}{3}})$
hence, $θ = 2 n π \pm \frac{π}{6}$

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

Solve Precalculus Problems | Expert Help Available