Precalculus Solutions | Expert Assistance for Problems & Examples

Difference between $\frac{2 π}{b}$ versus $2 π b$
I'm having trouble finding period involving this equation: $y = a \sin (x - h b) + k$ . Sometimes my teacher would use $\frac{2 π}{b}$ in order to solve for period and sometimes my teacher would use $2 π b$ to solve for b. What is the difference between the two equations, and how do I know which one is the appropriate equation to use in a problem.

Dominique Pace 2022-03-27

Determine all $z \in C$ such that $z^{8} + 3 i z^{4} + 4 = 0$

David Rodgers 2022-03-27

Converting parametric to cartesian - $x = 4 \cos t$ and $y = 4 \sin t$ as $x^{2} + y^{2} = 16$

Ashleigh Shaffer 2022-03-27

Consider the function
$f (x) = \sin x + \cos x + \tan x + \cot x + \sec x + \csc x$
Let P be the smallest possible positive real number such that the equation f(x)=P has real solutions, and let N be the largest possible negative real number such that the equation f(x)=N has real solutions.
Find the value of $[1000 (P + N)]$

burubukuamaw 2022-03-27

Computing $\int_{0}^{1} \sin (3 π x) \sin (2 π x) d x$

Samara Richard 2022-03-27

Compute $\int \frac{x^{2}}{\tan {x} - x} d x$ for $x \in (0, \frac{π}{2})$

xxgetthisar08 2022-03-27

How do I go about simplifying $1 - \frac{\sin^{2} x \tan x}{\tan x + 1} - \frac{\cos^{2} x}{\tan x + 1}$ to $\sin x \cos x$

Deegan Chase 2022-03-27

How do I compute the following integral
$I = \int {(\tan x)}^{\frac{1}{6}} d x$

Harold Hoover 2022-03-27

How can I solve the following inequality:
$6 \sin x \cos 2 x \geq 0$

abitinomaq1 2022-03-27

How can I simplify $\cos (2 x) + \frac{1}{2} \sin (4 x) - \frac{1}{2} \cos (4 x)$ into a single expression?

Zack Mora 2022-03-27

How can I simplify
$\sqrt{3^{2} + 3^{2} \tan^{2} θ}$

Zack Mora 2022-03-27

Hints to prove $\tan^{2} {θ} = \tan {A} \tan {B}$ ,given $\frac{\sin {(θ + A)}}{\sin {(θ + B)}} = \sqrt{\frac{\sin {2 A}}{\sin {2 B}}}$

Petrolovujhm 2022-03-27

Help with exact value of:
$\tan (\sin^{- 1} (- \frac{1}{2}) - \tan^{- 1} (\frac{3}{4}))$

fsrlaihq55 2022-03-27

Help me to find the value of $\frac{\sin^{3} (θ) - \cos^{3} (θ)}{\sin (θ - \frac{π}{4})}$ if $\sin (2 θ) = 2 \sqrt{2} - 2$

Rowan Callahan 2022-03-27

Help solving trigonometric equation $\cos^{2} x - \sin x = 0$ within the domain $[0, 2 π]$

tibukooinm 2022-03-26

Determine whether the infinite geometric series converges or diverges. If it converges, find its sum.
$\sum_{k = 1}^{\infty} \frac{1}{3} 4^{k = 1}$

Erik Cantu 2022-03-26

Could you please help me prove this:
$\frac{2 \cos (\frac{θ}{2}) - 1 - \cos θ}{2 \cos (\frac{θ}{2}) + 1 + \cos θ} = \frac{1 - \cos (\frac{θ}{2})}{1 + \cos (\frac{θ}{2})}$

Dominique Pace 2022-03-26

Compute the value of
$\frac{(\arctan \frac{1}{2} + \arctan \frac{1}{3})}{(arcot \frac{1}{2} + arcot \frac{1}{3})}$

meli199939f 2022-03-26

How do I expand $\sin^{5} θ$ using the complex exponential, in order to obtain:
$\frac{1}{16} \sin 5 θ - \frac{5}{16} \sin 3 θ + \frac{5}{8} \sin θ$

anadyrskia0g5 2022-03-26

How do I find dx/dt implicitly with the function $\tan (x) = 4 t^{- 1}$ ?

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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