Precalculus Solutions | Expert Assistance for Problems & Examples

How to compute
$S = \csc^{2} \frac{π}{14} + \csc^{2} \frac{3 π}{14} + \csc^{2} \frac{5 π}{14}$

Angeline Hayden 2022-04-23

How prove that sum
$\frac{1}{\sin^{2} \frac{π}{2 n}} + \frac{1}{\sin^{2} \frac{2 π}{2 n}} + \dots + \frac{1}{\sin^{2} \frac{(n - 1) π}{2 n}} = \frac{2}{3} (n - 1) (n + 1)$

eszkortwxp 2022-04-23

How should I factor this polynomial: $x^{3} - x^{2} - 4 x - 6$

ngihlungeqtr 2022-04-23

How is this transition possible:
$e^{u} = \tan (\frac{π}{4} + \frac{θ}{2}) given$
${\frac{e^{\frac{u}{2}}}{e^{- \frac{u}{2}}}} = \frac{1 + \tan (\frac{θ}{2})}{1 - \tan (\frac{θ}{2})}$

Bruce Rosario 2022-04-23

How many distinct real roots does
${(x^{2} + x - 2)}^{3} + {(8 - 2 x^{2})}^{3} = {(x^{2} + 3 x + 2)}^{3}$ have?

hadaasyj 2022-04-23

How does one write the polynomial $p (x) = \frac{1}{2} x^{3} + (- \frac{3}{2}) x^{2} + 1$ using the standard basis $[1, x, x^{2}, x^{3}]$ ?

Elise Winters 2022-04-22

On the roots of
$t^{4} - 6 \sqrt{3} t^{3} + 8 t^{2} + 2 \sqrt{3} t - 1 = 0$

Sydney Stanley 2022-04-22

Number of solutions of $3 \sin^{2} x + \cos^{2} x + \sqrt{3} \sin x + \cos x + 1 = \sqrt{3} \sin x \cos x$ in $[0 10 π]$
My Try:
The given equation is
$2 + 2 \sin^{2} x + 2 \sin (x + \frac{π}{6}) = \frac{\sqrt{3}}{2} \sin (2 x)$
$\Rightarrow$
$3 + 2 \sin (x + \frac{π}{6}) = \frac{\sqrt{3}}{2} \sin (2 x) + \cos (2 x)$

Travis Caldwell 2022-04-22

Is it possible to expand
$\sin (2 x + 1) \cdot \sin (2 x + 1)$ ?

redupticslaz 2022-04-22

Implict differentiation:
$x \cos (4 x + 3 y) = y \sin x$

bacfrancaiso0j 2022-04-22

If $a \sin^{2} x + b \cos^{2} x = c$
$b \sin^{2} y + a \cos^{2} y = d$
$a \tan x = b \tan y$
then prove that
$\frac{a^{2}}{b^{2}} = \frac{(d - a) (c - a)}{(b - c) (b - d)}$

Jakayla Benton 2022-04-22

If $4 \cos^{2} (\frac{k π}{j})$ is the greatest root of the equation
$x^{3} - 7 x^{2} + 14 x - 7 = 0$
where $gcd (k, j) = 1$
Evaluate $k + j$

determine (x,y) for the following parametric equations when t=4.

x= t
y=t^2/4

Essence Byrd 2022-04-22

Simplify $\arcsin (\cos (2 x)), 0 \leq x \leq (\frac{π}{2})$
I used the identity $\sin ((\frac{π}{2}) - x) = \cos x$ and I got $(\frac{π}{2}) - 2 x$

Jazmine Sweeney 2022-04-22

If $\sin^{8} (x) + \cos^{8} (x) = \frac{48}{128}$ then find the value of x?

Averie Ray 2022-04-22

If $\tan x - \sin x = a$ , what is $\sec^{3} (x) - 1$ in terms of a

occhei042 2022-04-22

How to calculate $\frac{I_{n + 2}}{I_{n}}$ of $I_{n} = \int_{\frac{- π}{2}}^{\frac{π}{2}} \cos^{n} θ d θ$
I could calculate that $n I_{n} = 2 \cos^{n - 1} θ \sin θ + 2 (n - 1) \int_{0}^{\frac{π}{2}} I_{n - 2} d θ$ but how do I caluclate the $I_{n + 2}$ ?

Travis Caldwell 2022-04-22

If $\tan (20^{\circ}) = p$ , find $\frac{\tan (160^{\circ}) - \tan (110^{\circ})}{1 + \tan (160^{\circ}) \tan (110^{\circ})}$

dooporpplauttssg 2022-04-22

If $\tan (\frac{α}{2}) = m$ , then evaluate $\frac{1 - 2 \sin^{2} (\frac{α}{2})}{1 + \sin α}$
How to evaluate this?

Abbigail Robles 2022-04-22

If $\cos 3 A + \cos 3 B + \cos 3 C = 1$ in a triangle, find one of its length

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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