Precalculus Solutions | Expert Assistance for Problems & Examples

Find the limit and prove the limit for
$lim_{(x, y, z) \to (1, 2, - 3)} \arctan (\frac{x + z}{y})$

Axel Stout 2022-04-13

Find the general solution of
My approach: Converted them to cosines and then further simplified. I got or But my book stated the answer as or Where am i going wrong.
My simplification:
$\cos 2 θ - \cos 4 θ = 2 \cos 4 θ \cdot \cos 2 θ$
$\cos 2 θ - \cos 4 θ = \cos 6 θ + \cos 2 θ$
$\cos 4 θ = - \cos 6 θ$
$\cos 4 θ = \cos (π - 6 θ)$
$4 θ = 2 n π \pm (π - 6 θ)$
taking the plus and minus, I got my above-stated answer. But it doesn't quite agree with the answer given in my book. Can anyone explain my mistake?

Willow Cooper 2022-04-13

Find the domain of $\frac{1}{\cos^{2} (θ) + \cos (θ)}$

Perla Benitez 2022-04-13

Find the calue without using calculator
$\sin^{2} 10 + \cos^{2} 40 + \sin 10 \cos 40$

Breanna Mcclure 2022-04-13

Find polynomial:
$\frac{v \sin x}{(1 - v) + v \cos x}$

Elijah Schwartz 2022-04-13

find $\cos θ$ if $\sin θ = \frac{3}{4}$ and $\tan θ = \frac{9}{2}$

Eddie Clarke 2022-04-13

Find $\sum_{n = 1}^{89} \sin^{6} (n) = \frac{m}{n}$

Vanessa Mccarty 2022-04-13

Find m for which $\sin (x) + \cos (2 x) = m$ has solutions, no derivatives
Given $f : [0, 2 π] \to R, f (x) = \sin (x) + \cos (2 x)$ find the values of m for which the equations f(x)=m has solutions. The problem it is easy solvable with derivatives but it takes some time and careful computations to end up with the solution $[- 2, \frac{9}{8}]$

Bryanna Leon 2022-04-13

Does anyone know how to factorize the following expression:
$4 x^{4} + 12 x^{\frac{10}{3}} y^{\frac{2}{3}} + 33 x^{\frac{8}{3}} y^{\frac{4}{3}} + 46 x^{2} y^{2} + 33 x^{\frac{4}{3}} y^{\frac{8}{3}} + 12 x^{\frac{2}{3}} y^{\frac{10}{3}} + 4 y^{4}$

Ormezzani6cuu 2022-04-13

Difficulty solving exponential equation
$4^{x} - 4^{1} + 2^{x} - 2^{1} = \frac{5}{16}$

The height of a cylinder is increasing at a constant rate of 2 meters per second, and the volume is decreasing at a rate of 800 cubic meters per second. At the instant when the radius of the cylinder is 5 meters and the volume is 648 cubic meters, what is the rate of change of the radius? The volume of a cylinder can be found with the equationV=πr2h. Round your answer to three decimal places.

gabolzm6d 2022-04-12

How do you simplify and evaluate $\frac{{\tan 80}^{\circ} - {\tan 20}^{\circ}}{1 + {\tan 80}^{\circ} {\tan 20}^{\circ}}$

Magdalena Warren 2022-04-12

How do I prove
$\cos (4 A) = \cos^{4} A - 6 \cos^{2} A \sin^{2} A + \sin^{4} A$ ?

delitzo1d4 2022-04-12

For the quartic equation:
$x^{4} - x^{3} + 4 x^{2} + 3 x + 5 = 0$

Jaylyn Villarreal 2022-04-12

Find the exact value of $\cos (11 \frac{π}{12})$

Julian Peck 2022-04-12

Find the domain of the following function:
$f (x) = \ln (2 \tan (3 x + \frac{π}{3}) - 2) .$
The first step that I done is that f(x) is more than 0.
Then I got to: $1 < \tan (3 x + \frac{π}{3})$

Annie Rice 2022-04-12

Find real part of $\frac{1}{1 - e^{i \frac{π}{7}}}$
How can you find
$R e (\frac{1}{1 - e^{i \frac{π}{7}}})$
I put it into wolframalpha and got $\frac{12}{}$ , but I have no idea where to begin. I though maybe we could use the fact that
$\frac{1}{z} = \frac{\overset{―}{z}}{{| z |}^{2}}$ ,
where $\overset{―}{z}$ is the conjugate of z. Unfortunately, the magnitude doesn't seem to be a nice number. I feel like this might be a trigonometry question in disguise, but converting $e^{i \frac{π}{7}} = \cos (\frac{π}{7}) + i \sin (\frac{π}{7})$ hasn't been very fruitful.

Aiyana Ayers 2022-04-12

Find $\frac{\tan 54 - \tan 2}{\frac{\sin 2}{\cos 6} + \frac{\sin 6}{\cos 18} + \frac{\sin 18}{\cos 54}}$

Alan Zavala 2022-04-12

Find mininal polynomial of $i \frac{\sqrt{3}}{2} + \frac{1}{2}$

Bryanna Leon 2022-04-12

Find maximum of $f (x) = 3 \cos {2 x} + 4 \sin {2 x}$

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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