Precalculus Solutions | Expert Assistance for Problems & Examples

If $x \in [- 1, 0)$ , then what is the value of $\cos^{- 1} (2 x^{2} - 1) - 2 \sin^{- 1} x$ ?

Lizeth Jackson 2022-01-26

If $\cos θ = \frac{\cos α + \cos β}{1 + \cos α \cos β}$ , then prove that one value of $\tan (\frac{θ}{2})$ is $\tan (\frac{α}{2}) \tan (\frac{β}{2})$

Cameron Russell 2022-01-26

If the solutions for $θ$ from the equation $\sin^{2} θ - 2 \sin θ + λ = 0$ lie in $\cup_{n \in z} (2 n π - \frac{π}{6}, (2 n + 1) π + \frac{π}{6})$ . Then find the possible set values of $λ$

Emmy Combs 2022-01-26

Evaluate the sum of the infinite series $1 + \cos x + \cos^{2} x + \cos^{3} x \dots$ for $0 < x < π$
Therefore $\sum_{n = 0}^{\infty} \cos^{n} x$
which is just a geometric series with common ratio $\cos x$ and first term 1. So the sum of the series should be
$\sum_{n = 0}^{\infty} \cos^{n} x = \frac{1}{1 - \cos x}$
However, the answer to the question is ${\frac{12}{\csc}}^{2} (\frac{x}{2})$

siutulysr5 2022-01-26

What's the value of cos(x) that verifies the following equality
The equality is:
$2 \sin^{2} 2 x - 2 \sin x \sin 3 x = 4 \cos x + \cos 2 x$

Sereinserenormg 2022-01-26

Find the eccentricity of the conic given by:
$(x {\tan 10}^{\circ} + y {\tan 20}^{\circ} + {\tan 30}^{\circ}) (x {\tan 120}^{\circ} + y {\tan 220}^{\circ} + {\tan 320}^{\circ}) + 2018 = 0$

Jett Castaneda 2022-01-26

The absolute of the expression $\frac{1 + \sqrt{3} {\tan 1}^{\circ}}{\sqrt{3} - {\tan 1}^{\circ}} \cdot \frac{{\tan 89}^{\circ}}{{\cot 3}^{\circ}}$ is equal to...

sentidosin0q 2022-01-26

Given $\cos 3 θ = 4 {(\cos θ)}^{3} - 3 \cos θ$ , solve $4 x^{3} - 9 x - 1 = 0$ , correct to 3 decimal places.

Madilyn Fitzgerald 2022-01-26

Find: $\int_{0}^{\frac{π}{4}} x \ln (\sin x) d x$

Kristina Mcclain 2022-01-26

Why $\tan^{- 2} (x) = \frac{1}{\tan^{2} (x)}$ ?

Maximus George 2022-01-26

Showing that $\frac{x^{2} + 2 x \cos 2 α + 1}{x^{2} + 2 x \cos 2 β + 1}$ lies between $\frac{\cos^{2} α}{\cos^{2} β}$ and $\frac{\sin^{2} α}{\sin^{2} β}$

iocasq4 2022-01-26

If $\cos (a - b) = 3 \sin (a + b)$ then find $\frac{1}{1 - 3 \sin 2 a} + \frac{1}{1 - 3 \sin 2 b}$

Yahir Haas 2022-01-26

Evaluate $(\sum_{k = 1}^{7} \tan^{2} (\frac{k π}{16})) - \tan^{2} (\frac{4 π}{16})$

Gwendolyn Giles 2022-01-26

Can $\frac{\csc α + \cos α}{\cos α - \tan α - \sec α}$ be simplified?

Adrian Cervantes 2022-01-26

Eliminate $θ$ from from
$\frac{x - k \sin θ \cot α}{k \cos θ} = \frac{y - k \cos θ \tan α}{k \sin θ} = \frac{z}{c}$

William Montgomery 2022-01-26

I want to find the local minima of this equation
$\sin^{2} (\frac{33}{x} π) + \sin^{2} (x π) = y$

ardeinduie 2022-01-26

Calculate $\int_{- 4 π}^{4 π} \frac{{(\sin x)}^{2} - {(\sin x)}^{4}}{1 - {(\sin x)}^{4}} d x$

veceriraby 2022-01-26

Proving that $(\begin{matrix} n + 3 \\ 3 \end{matrix}) = \frac{n + 2}{2} \sum_{k = 1}^{n + 1} \csc^{2} \frac{k π}{n + 2}$

Courtney Griffin 2022-01-26

Prove that $\cos^{4} (θ) - \sin^{4} (θ) = \cos (2 θ)$
So, here are my steps so far:
${(\cos^{2} θ)}^{2} - {(\sin^{2} θ)}^{2} = \cos (2 θ)$
$(\cos^{2} θ + \sin^{2} θ) (\cos^{2} θ - \sin^{2} θ) = \cos (2 θ)$
$(\cos^{2} θ + \sin^{2} θ) (\cos θ + \sin θ) (\cos θ - \sin θ) = \cos (2 θ)$

Haialarmz6 2022-01-26

Proving $\tan^{2} (\frac{π}{4} + x) = \frac{1 + \sin (2 x)}{1 - \sin (2 x)}$

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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