Precalculus Solutions | Expert Assistance for Problems & Examples

Show that
$\frac{\sin x}{\cos 3 x} = \frac{1}{2} (\tan 3 x - \tan x)$

sweetrainyday8s2 2022-02-26

How do you integrate the following functions:
$\int {(\frac{\cos θ}{1 + \sin^{2} θ})}^{2} d θ$

Corbin Walton 2022-02-26

How to integrate
$\int_{0}^{\frac{π}{2}} \frac{2 a \sin^{2} x}{a^{2} \sin^{2} x + b^{2} \cos x} d x$

Carole Juarez 2022-02-26

Show that
$- 2 \leq \cos θ (\sin θ + \sqrt{\sin^{2} θ + 3}) \leq 2$

Beverley Rahman 2022-02-26

What is the number of real roots of the equation
$2 \cos (\frac{x^{2} + x}{6}) = 2^{x} + 2^{- x}$

trasbocohf1 2022-02-26

How would I prove the following double angle identity?
$\frac{\sin 2 A - \sin A}{\cos 2 A + \sin A} = \tan \frac{3 A}{2} \cdot \cot \frac{A}{2}$

SnuluddidaPalbx4 2022-02-26

Solve the following limit:
$lim_{x \to \frac{π}{6}} \frac{2 \sin (x) - 1}{\sqrt{3} \tan (x) - 1}$

Reginald Owens 2022-02-26

How do you determine the local extrema points for $y = \sqrt{3} \cos (3 x) + \sin (3 x)$ ?

Cobie Sadler 2022-02-26

I was asked to find the minimum and maximum values of the functions:
$1 . y = \frac{\sin^{2} x}{1 + \cos^{2} x}$
$2 . y = \sin^{2} x - \cos^{4} x$

Lubna Boyce 2022-02-26

In the equation:
$(a - b) \cot θ) \cos^{2} θ = - \frac{b}{2} \cot θ$

Alexandria Dodd 2022-02-26

How do I prove the identity:
$\tan (\frac{π}{4} - x) = \frac{1 - \sin 2 x}{\cos 2 x}$

Gary Johnson 2022-02-26

Solve the equation:
$\sin^{2000} x + \cos^{2000} x = 1$

HeescandHenv1i 2022-02-26

Can you help me solve this without using de l'Hôpital's rule (just using Standard rules):
$lim_{x \to 0} \frac{\sin x - x \cos x}{x^{3}}$

Richie Patterson 2022-02-26

Prove that
$\cos 2 θ - \sqrt{3} \sin 2 θ \equiv 2 \cos (2 θ + \frac{π}{3}) \equiv - 2 \sin (2 θ - \frac{π}{6})$

Brooklyn1wp 2022-02-26

Find the solution:
$\frac{1 + \tan (x) + \tan^{2} (x) + \dots + \tan^{n} (x) + \dots}{1 - \tan (x) + \tan^{2} (x) - \dots + {(- 1)}^{n} \tan^{n} (x) \dots} = 1 + \sin (2 x)$

oskrnavih92j 2022-02-25

Solve:
$\sin (x - y) = 3 \sin x \cos y - 1$
$\sin (x + y) = - 2 \cos x \sin y$

demonlikw4 2022-02-25

I want to prove that
$2 \arctan \sqrt{x} = \arcsin \frac{x - 1}{x + 1} + \frac{π}{2}$

Rome Frazier 2022-02-25

I recently determined that for all integers a and b such that $a \neq b$ and $b \neq 0$ .
$\arctan (\frac{a}{b}) + \frac{π}{4} = \arctan (\frac{b + a}{b - a})$

Abiha Bellamy 2022-02-25

When is
$\frac{1}{n} \sin (n t) = \frac{1}{n + 2} \sin ((n + 2) t)$ ?

Umaiza Hutton 2022-02-25

Solving an example with imaginary units.
$θ = \arctan (\sqrt{3} + 2)$
$θ = 75^{\circ} = 5 \frac{π}{12}$

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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