Precalculus Solutions | Expert Assistance for Problems & Examples

I need help on proving the following:
$\frac{\cos 7 x - \cos x + \sin 3 x}{\sin 7 x + \sin x - \cos 3 x} = - \tan 3 x$

Rex Maxwell 2022-03-30

I have to prove the following result :
$\frac{\tan θ}{1 - \cot θ} + \frac{c o θ}{1 - \tan θ} = 1 + \sec θ \cdot \csc θ$

Tony Mccarthy 2022-03-30

I have the below question and have to find value of x.
$\cos^{- 1} (\frac{x^{2} - 1}{x^{2} + 1}) + \tan^{- 1} (\frac{2 x}{x^{2} - 1}) = \frac{2 π}{3}$

wibawanyacl3q 2022-03-30

I have an example:
$\frac{49}{64} \cos^{2} θ + \cos^{2} θ = 1$
Then what happens next:
$\frac{113}{64} \cos^{2} θ = 1$
Where has the other cosine disappeared to?

avalg10o 2022-03-30

I have a problem with the following integral
$\int_{- \infty}^{\infty} \frac{x \sin x}{x^{4} + 1}$

Liseskirlsojh 2022-03-30

I found this interesting result. Show that
$\frac{1 + {\sin 6}^{\circ} + {\cos 12}^{\circ}}{{\cos 6}^{\circ} + {\sin 12}^{\circ}} = \sqrt{3}$

fsrlaihq55 2022-03-30

I found out that:
$\tan (x) = x + \frac{x^{3}}{3} + \frac{2 x^{5}}{15} + O (x^{7})$
If I wanted to find a value of $\tan (x)$ , how would I use it to find a value for x?

Pasegeabe85xy 2022-03-30

I don't find the right identities for this
$lim_{x \to \frac{π}{4}} (\tan (2 x) \tan (\frac{π}{4} - x))$

rhedynogh0rp 2022-03-30

I am trying to find an easy way to compute the limit as $x \to 0$ of
$f (x) = \frac{\sqrt{1 + \tan (x)} - \sqrt{1 + \sin (x)}}{x^{3}}$

metalskaashw 2022-03-30

I am trying to find a bound for $| \cos (2 n + 1) θ |$ by something of the form $c (n) | \cos θ |$ . I am suspecting that we can bound it by $(2 n + 1) | \cos θ |$ but I'm not sure how to show that this is true

Nancy Richmond 2022-03-30

I am trying to factor the following polynomial:
$4 x^{3} - 8 x^{2} - x + 2$

afasiask7xg 2022-03-30

How to sum up these sine functions?
$A = \sin 2 a + \sin 4 a + \dots + \sin 10 a$

wibawanyacl3q 2022-03-30

How to solve this limit:
$lim_{x \to 0} \frac{\tan 6 x}{\sin 2 x}$

Zack Mora 2022-03-30

How to solve this limit:
$lim_{x \to 0} \frac{\tan^{2} (3 x) + \sin (11 x^{2})}{x \sin (5 x)}$

aanvarendbq28 2022-03-30

how to solve the following problem? If $\sum_{i = 1}^{n} {\cos θ}_{i} = n$ then what is the value of $\sum_{i = 1}^{n} {\sin θ}_{i}$

Sanai Huerta 2022-03-30

$\tan (x) = 3$ . Find the value of $\sin (x)$

peggyleuwpodg 2022-03-30

How to solve $lim_{x \to 0^{+}} \frac{\sqrt{\sin x}}{\sin \sqrt{x}}$ without the use of L'Hospital's Rule

juctommaccedo662f 2022-03-30

$\sin (4 x) = - 2 \sin (2 x)$ solutions in $[0, 2 π)$

ab0utfallingm1z2 2022-03-30

$\sin 2 θ + \cos 2 θ = \sin θ + \cos θ$ proof
I tried to do like this
L.H.S.
$= 2 \sin θ \cos θ + \cos^{2} θ - \sin^{2} θ$
$= \sin θ \cos θ + \cos^{2} θ + \sin θ \cos θ - \sin^{2} θ$
$= \cos θ (\sin θ + \cos θ) + \sin θ (\cos θ - \sin θ)$
Then what should I do ?

ab0utfallingm1z2 2022-03-30

$\sin^{2} x \cos^{2} x + \sin x \cos x - 1 = 0$

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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