Precalculus Solutions | Expert Assistance for Problems & Examples

Factor $1 - u^{2}$ .

Maurice Maldonado 2022-04-30

Expand the polynomial (-3w-2)(6w+2)

NepanitaNesg3a 2022-04-30

Expand the polynomial (-3w-2)(6w+6).

Yaritza Robinson 2022-04-30

Expand the polynomial (6-5s)(7-s).

Ari Sheppard 2022-04-30

Solve $(- 3 m^{3} - m^{2} + m + 7 ) - (5 m^{3} + 3 m^{2} - 4 m - 1) =$ ?

Gage Potter 2022-04-30

Simplify
$7 \arctan^{2} ϕ + 2 \arctan^{2} ϕ^{3} - \arctan^{2} ϕ^{5}$

luminarc24lry 2022-04-30

Showing that $\int_{0}^{\frac{π}{2}} \cos^{2 n + 1} (x) d x = \frac{4^{n} {(n!)}^{2}}{(2 n + 1)!}$ ?

Kailey Perez 2022-04-30

Show: $\frac{\cos 3 x + i \sin 3 x}{\cos x + i \sin x} = \cos 2 x + i \sin 2 x$

Maximillian Patterson 2022-04-30

Show that $\sin (\frac{x}{2}) + 2 \sin (\frac{x}{4}) \leq 3 \frac{\sqrt{3}}{2}$ for all $x \in [0, 2 π]$
My try
$f (x) = \sin (\frac{x}{2}) + 2 \sin (\frac{x}{4})$
$f^{'} (x) = \frac{1}{2} \cos (\frac{x}{2}) + \frac{1}{2} \cos (\frac{x}{4})$
$f^{'} (x) = \frac{1}{2} \cos (\frac{x}{2}) + \frac{1}{2} \cos (\frac{x}{4})$
$f^{'} (x) = \frac{1}{2} (\cos (\frac{x}{2}) + \cos (\frac{x}{4}))$
$f^{'} (x) = \cos (3 \frac{x}{4}) \cos (\frac{x}{4}))$
$f^{'} (x) = 0 \Rightarrow \cos (3 \frac{x}{4}) \cos (\frac{x}{4})) = 0$
$\cos (3 \frac{x}{4}) = 0 or \cos (\frac{x}{4}) = 0$
$3 \frac{x}{4} = \frac{π}{2} and so x = 2 \frac{π}{3} or x = 2 π$
$\frac{x}{4} = \frac{π}{2} and so x = 2 π$
Is my work ok ? What should I do now?

Elise Winters 2022-04-30

Show that $\sin (\frac{π}{3} (x - 2))$ is equal to $\cos (\frac{π}{3} (x - \frac{7}{2}))$

etudiante9c2 2022-04-30

Rearranging a trigonometric expression
$\tan β = \frac{λ - \cos θ}{\sin θ} \Rightarrow \tan β = λ \cdot \csc θ - \cot θ$
Where $λ$ is a constant.
Is it possible to simplify the right hand side term into a single trig function? My goal is to have an equation of the form
$θ = f (β)$
Any help is appreciated.

zamenjenot7k 2022-04-30

Polynomial factoring:
$1 - 3 x + 4 x^{3}$

Elise Winters 2022-04-30

Integral
$\int_{0}^{\frac{π}{2}} \arctan^{2} (\frac{6 \sin x}{3 + \cos 2 x}) d x$

Maurice Maldonado 2022-04-29

If $\sin 2 x = \frac{5}{13}$ and $0^{\circ} < x < 45^{\circ}$ , find $\sin x$ and $\cos x$ .

Maximillian Patterson 2022-04-28

Problem with inversion of the system $u = \frac{\cos θ}{1 - t \cos θ}, v = \frac{\sin θ}{1 + t \sin θ}$

Maurice Maldonado 2022-04-28

Problem with definite integral
$\int_{0}^{\frac{π}{6}} \cos x \sqrt{1 - 2 \sin x} d x$

Dashawn Robbins 2022-04-28

Please, simplify these trigonometry term:
$\frac{\sin 2 x + \sin 4 x + \sin 6 x}{\cos 2 x + \cos 4 x + \cos 6 x} = ?$

slanglyn3u2 2022-04-28

We need to prove that
$\frac{\sin θ - \cos θ + 1}{\sin θ + \cos θ - 1} = \frac{1}{\sec θ - \tan θ}$

Dania Robbins 2022-04-28

If $x + y + z = x y z$ , find $\frac{3 x - x^{3}}{1 - 3 x^{2}} + \frac{3 y - y^{3}}{1 - 3 y^{2}} + \frac{3 z - z^{2}}{1 - 3 z^{2}}$

misangela4gi 2022-04-28

Simplify:
$2 {(\cos^{2} x - \sin^{2} x)}^{2} \tan 2 x$

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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