Precalculus Solutions | Expert Assistance for Problems & Examples

Let $f (x) = \frac{1}{x^{2}} - \frac{1}{\sin^{2} x}$ . Find Value of $lim_{x \to 0} f (x)$ . I've tried L'Hôpital's rule but it didn't work . Also I was unable to use trigonometric identities.

Oliver Carson 2022-03-24

Let n be a natural number, the Show that
${(\cos (2) + i \sin (2) + 1)}^{n} = 2^{n} \cos^{n} (1) (\cos (n) + i \sin (n))$

Guadalupe Glass 2022-03-24

When is $\sin^{3} (x) > \cos^{3} (x)$ ?

parksinta8rkv 2022-03-24

What will be the minimum value of this trigonometric function?
$5 \sin^{2} x - 12 \sin x \cos x + 10 \cos^{2} x$
My doubt is that as this can be written as ${(2 \sin x - 3 \cos x)}^{2} + 1$ and minimum value of $2 \sin x - 3 \cos x$ is -13, so will the minimum value be 14, same as maximum value?

Asher Olsen 2022-03-24

What is the simplest way to compute : $\int_{0}^{π} {(\frac{\sin (x)}{5 - 4 \cos (x)})}^{2} d x = \frac{π}{24}$

Marzadri9lyy 2022-03-24

General formulas for $\cos (\sum_{i = 1}^{n} θ_{i})$ and $\sin (\sum_{i = 1}^{n} θ_{i})$

Parallelog keypad with one vertex at the origin and adjacent vertex at 10 - 3 1 2 4 and 5 1 0 is how many cubic units

The volume of the parallelepiped with one vertex at the origin and adjective vertices at (1,0,-3),(1,2,4)and(5,1,0)is------

A drug for the relief of asthma can be purchased from 5 different manufacturers in liquid, tablet, or capsule form, all of which come in regular and extra strength. How many different ways can a doctor prescribe the drug for a patient suffering from asthma?

Coradossi7xod 2022-03-23

Solve this trigonometric inequality:
$\sin x \sin 2 x - \cos x \cos 2 x > \sin 6 x$

parksinta8rkv 2022-03-23

Solve this equation.
${(\sqrt{\sqrt{2} + 1})}^{\sin (x)} + {(\sqrt{\sqrt{2} - 1})}^{\sin (x)} = 2$

annlanw09y 2022-03-23

Solve the following integral:
$\int_{0}^{4 π} \frac{x | \sin x | d x}{1 + | \cos x |}$

Oliver Tyler 2022-03-23

Solve the following equation
$2 \arccos (x) - \arcsin (2 x \sqrt{1 - x^{2}}) = 0$

rhedynogh0rp 2022-03-23

Solve the equation
$4 y^{2} - 20 x - 25 = 0$

acidizihvzs 2022-03-23

Solve the equation
$27 \sin (x) \cdot \cos^{2} (x) \cdot \tan^{3} (x) \cdot \cot^{4} (x) \cdot \sec^{5} (x) \cdot \csc^{6} (x) = 256$

Amya Horn 2022-03-23

Solve the equation
$\sin (11 x) \sin (x) = \cos (10 x)$

Deegan Chase 2022-03-23

Solve $x d y - y d x = x \sqrt{x^{2} - y^{2}} d y$

justbethlflql 2022-03-23

Limit of $x^{2} (1 - x \sin \frac{1}{x})$ as $x \to \infty$

Jackson Floyd 2022-03-23

Why can't $\frac{1}{\sin x \cos x}$ be expressed in the form $\frac{A}{\sin x} + \frac{B}{\cos x}$
$\frac{1}{\sin (x) \cos (x)} = \frac{A}{\sin x} + \frac{B}{\cos x} \Rightarrow 1 = A \cos x + B \sin x$
I let $x = \frac{π}{2}$ , getting A=-1. Then I let $x = π$ , getting B=1. This means that $1 = \cos x - \sin x$ which is obviously wrong most of the time.

jisu61hbke 2022-03-23

Why should we have $\sin^{2} (x) = \frac{1 - \cos (2 x)}{2}$ knowing that $\sin^{2} (x) = 1 - \cos^{2} (x)$ ?
Logically, can you not subtract $\cos^{2} (x)$ to the other side from this Pythagorean identity $\sin^{2} (x) + \cos^{2} (x) = 1$ ?
When I look up trig identities, however, it says $\sin^{2} (x) = \frac{1 - \cos (2 x)}{2}$

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