Precalculus Solutions | Expert Assistance for Problems & Examples

Find:
$lim_{x \to 0} \frac{\frac{\sin x}{x} - \cos x}{2 x (\frac{e^{2 x} - 1}{2 x} - 1)}$

Casertowm7 2022-02-26

Prove the identity
$1 + \sin x = 2 \cos^{2} (45^{\circ} - \frac{x}{2})$

Phoebe Xiong 2022-02-26

Use the de Moivre theorem to evaluate the following:
$\frac{(1 + i) {(\sqrt{3} + i)}^{3}}{{(1 - \sqrt{3} i)}^{3}} = 1 - i$

Tayyib Cornish 2022-02-26

The equation of motion given is
$x (t) = \frac{- 2}{3} \cos (10 t) + \frac{1}{2} \sin (10 t)$

haugmbd 2022-02-26

I need to prove by induction that:
$\sum_{k = 1}^{n} \sin (k x) = \frac{\sin (\frac{n + 1}{2} x) \sin (\frac{n}{2} x)}{\sin (\frac{x}{2})}$

manhangasto6 2022-02-26

Solve
$2 + \cot θ = \csc θ$
where
$0 \leq θ < 2 π$ ?

Nettie Potts 2022-02-26

What will be the minimum value of
$\frac{p^{2}}{{\tan 90}^{\circ}} + \frac{q^{2}}{{\tan 27}^{\circ}} + \frac{r^{2}}{{\tan 63}^{\circ}} + \frac{s^{2}}{{\tan 81}^{\circ}}$
If
$p + q + r + s = 5$
where p,q,e,s are positive reals?

Layla-Rose Ellison 2022-02-26

Given that x and y satisfy the equation:
$\arctan (x) + \arctan (y) + \arctan (x y) = \frac{11}{12} π$

Umaiza Hutton 2022-02-26

The question is find the general solution of this equation:
$\sin (7 ϕ) + \cos (3 ϕ) = 0$

Nettie Potts 2022-02-26

Easiest way to prove that
$\int_{\frac{π}{6}}^{\frac{π}{2}} {\sin (2 x)}^{3} {\cos (3 x)}^{2} d x = {(\frac{3}{4})}^{4}$

Zaynah Dunn 2022-02-26

Can this:
$\frac{\cos x}{4 + \sin^{2} x}$
Be re-written using the fact that:
$\cot (t) = \frac{\cos (t)}{\sin (t)} = \frac{1}{\tan (t)}$

Tayyib Cornish 2022-02-26

How to get $\cot (\frac{θ}{2})$ from $\frac{\sin θ}{1 - \cos θ}$ ?

Casertowm7 2022-02-26

If
$\sum_{i = 1}^{\infty} \tan^{- 1} (\frac{1}{2 i^{2}}) = t$

enfocarteu7z 2022-02-26

Find all the possible solutions for the equations.
$\tan θ + \sec θ = 2 \cos θ, 0 \leq θ \leq 2 π$

Bradlee Hooper 2022-02-26

My knowledge of trigonometry is still insufficient to resolve this problem. Any help would be greatly appreciated.
$\tan α + 2 \tan 2 α + 4 \tan 4 α = \cot α - 8 \cot 8 α$

trasbocohf1 2022-02-26

I am stuck with this integral:
$\int \frac{d x}{(3 + \cos^{2} x) \cdot \tan x}$

ennuvolat4gv 2022-02-26

Solve:
$\sqrt{2 - 2 \cos x} + \sqrt{10 - 6 \cos x} = \sqrt{10 - 6 \cos 2 x}$

Tagiuraoob 2022-02-26

Which is the easiest way to evaluate:
$\int_{0}^{\frac{π}{2}} (\sqrt{\tan x} + \sqrt{\cot x})$

Anniyah Povey 2022-02-26

Can someone explain why this is true?
$\int_{0}^{2 π} {(\sin n x - \sin k x)}^{2} d x = 2 π$

Bruce Partridge 2022-02-26

I’ve got to proof that:
$\tan (\frac{A}{2}) = \sqrt{\frac{1 - \cos (A)}{1 + \cos (A)}}$

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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