Precalculus Solutions | Expert Assistance for Problems & Examples

Prove that
$\tan^{- 1} (\frac{x + 1}{1 - x}) = \frac{π}{4} + \tan^{- 1} (x)$

demonlikw4 2022-02-27

Show that :
$31 + 8 \sqrt{15} = 16 (1 + {\cos 6}^{\circ}) (1 + {\cos 42}^{\circ}) (1 + {\cos 66}^{\circ}) (1 - {\cos 78}^{\circ})$

Akbar Witt 2022-02-27

Finding all solutions to
$\tan^{5} x - 9 \tan x = 0$

Myah Fuller 2022-02-27

$X = (1 + {\tan 1}^{\circ}) (1 + {\tan 2}^{\circ}) (1 + {\tan 3}^{\circ}) \dots (1 + {\tan 45}^{\circ})$
$\tan (90 - θ) = \cot θ = \frac{1}{\tan θ}$

tressudasikx 2022-02-27

Given that $- \frac{π}{2} \leq \arcsin x \leq \frac{π}{2}$ , find the exact of $\cos [\arcsin (- \frac{1}{3})]$

sunyerneq 2022-02-27

Calculate the value of expresion:
$E (x) = \frac{\sin^{6} x + \cos^{6} x}{\sin^{4} x + \cos^{4} x}$
for $\tan (x) = 2$

trasdulaive 2022-02-27

Assuming
$\cos (36^{\circ}) = \frac{1}{4} + \frac{1}{4} \sqrt{5}$
How to prove that
$\tan^{2} (18^{\circ}) \tan^{2} (54^{\circ})$
is a rational number?

Junaid Ayala 2022-02-27

Prove that $\cot^{2} (\frac{π}{7}) + \cot^{2} (2 \frac{π}{7}) + \cot^{2} (3 \frac{π}{7}) = 5$

Akbar Witt 2022-02-27

Solving
$E = \frac{1}{{\sin 10}^{\circ}} - \frac{\sqrt{3}}{{\cos 10}^{\circ}}$

Kris Patton 2022-02-27

Calculate the following sum for integers $n \geq 2$ :
$\sum_{k = 0}^{n - 2} 2^{k} \tan (\frac{π}{2^{n - k}})$

Ingrid Senior 2022-02-27

How to prove that coefficients of Maclaurin series of $\frac{\arccos (1 - 2 x)}{\sqrt{x}}$ decrease as polynomial degree increases?

Cosmo Truong 2022-02-27

Show:
$\int_{\frac{1}{3}}^{\frac{1}{2}} \frac{arctanh (t)}{t} d t = \int_{\ln 2}^{\ln 3} \frac{u}{2 sinh u} d u$

Alexandria Dodd 2022-02-27

What is the usual way of proving things like
$\cos (\frac{π}{6}) = \frac{1}{2} ϕ$ ?

Emmanuella Browne 2022-02-27

Solve
$\frac{\cos x}{1 + \sin x} + \frac{1 + \sin x}{\cos x} = 2$

Corbin Walton 2022-02-27

How can one prove:
$\cos (\frac{π}{7}) + \cos (3 \frac{π}{7}) + \cos (5 \frac{π}{7}) = \frac{1}{2}$

Kris Patton 2022-02-27

Show
$4 \cos^{2} \frac{π}{5} - 2 \cos \frac{π}{5} - 1 = 0$

omdw1u 2022-02-27

Simplifying using the Tangent Difference identity:
$\frac{2 n r}{\tan (\frac{(n - 2) π}{2 n}}}$

oskrnavih92j 2022-02-27

I need to prove that:
$1 + \tan x \tan 2 x = \sec 2 x$

Tagiuraoob 2022-02-27

How do I show that:
$\frac{1}{\sin^{2} \frac{π}{14}} + \frac{1}{\sin^{2} \frac{3 π}{14}} + \frac{1}{\sin^{2} \frac{5 π}{14}} = 24$

Sarah-Louise Prince 2022-02-27

How to prove that:
$\tan (3 \frac{π}{11}) + 4 \sin (2 \frac{π}{11}) = \sqrt{11}$

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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