Precalculus Solutions | Expert Assistance for Problems & Examples

Solving $\sqrt{2} = \frac{\cos (x)}{\cos (2 x)}$
for $0 \leq {x} \leq {2 π}$ ? I can't find any trigonometric identity to solve it.

Alexis Alexander 2022-04-03

Solving for x, $\sin^{10} x + \cos^{10} x = \frac{29}{16} \cos^{4} 2 x$
I had found the answer as $4 x = \frac{π}{2} + n π \Rightarrow x = \frac{π}{8} + \frac{n π}{4}$ where $n \in Z$ . However, I'm not sure whether or not it seems correct.

「ʟᴜᴍɪᴇʀᴇ 」2022-04-02

here are 6 girls and 8 boys at a birthday party. In how many ways can they form six dancing boy-girl couples?

Jasmine Todd 2022-04-02

Find all solutions of the equation in the interval $[0, 2 π)$ . Express your answer in terms of k, where k is any integer.
$\tan 3 θ + 1 = \sec 3 θ$

Janiyah Hays 2022-04-02

Find all real solutions to $8 x^{3} + 27 = 0$

Kendall Daniels 2022-04-02

Express as function of $z : \sin (a^{2} + b^{2}) + \cos (a^{2} + b^{2}) i$
Where z=a+bi
and
$f (a + b i) = \sin (a^{2} + b^{2}) + \cos (a^{2} + b^{2}) i$
How could I write this in terms of z?
f(z)=?

Rolando Wade 2022-04-02

Evaluating: $\int \frac{1 + \sin (x)}{1 + \cos (x)} d x$

siliciooy0j 2022-04-02

Evaluating $\prod_{i = 1}^{60} \sin (3 i - 2) \sin (3 i - 1)$

Nathanael Hansen 2022-04-02

Evaluate: $lim_{x \to 0} \frac{\sin^{3} x - x^{3} s g n (1 - [\frac{x}{\sin^{- 1} x}])}{x \tan^{2} x \sin (π \cos x)}$
(Note that here sgn denotes the Signum function and [x] denotes the greatest integer less than or equal to x.)
The above simplifies to:
$lim_{x \to 0} \frac{\sin^{3} (x) - x^{3}}{x \tan^{2} (x) \sin (π (1 - \cos x))}$

fsrlaihq55 2022-04-02

Evaluate the indefinite integral
$\int \frac{\csc^{2} x - 2005}{\cos^{2005} x} d x$

monkeyman130yb 2022-04-02

Evaluate $\int_{C} \frac{\cos (z)}{z^{2} + 1} d z$ where the contour C is the circle of radius 5 centred at 0.

siliciooy0j 2022-04-02

Evaluate $\int \frac{1}{x^{2} + 9} d x$

aanvarendbq28 2022-04-02

Does there exists a polynomial $Q (x, y)$ such that $x - 1 = Q (x^{2} - 1, x^{3} - 1)$

Milton Robertson 2022-04-02

The equation $x^{6} - 5 x^{4} + 16 x^{2} - 72 x + 9 = 0$ has
(A) exactly two distinct real roots
(B) exactly three distinct real roots
(C) exactly four distinct real roots
(D) six distinct real roots

Coradossi7xod 2022-04-02

The following function models the length L of each day (in minutes) in Manila, t days after the spring equinox, which is March 22.
$L (t) = 52 \sin (\frac{2 π t}{365}) + 728$
What is the first time after March 22 that the day length hits 700 minutes?

Marzadri9lyy 2022-04-02

The equality I'm trying to prove looks like that:
${\tan 40}^{\circ} + \sqrt{3} = 4 {\sin 40}^{\circ}$

Lesnaoq73 2022-04-02

Testing with my calculator in degree mode, I have found the following to be true:
$\tan (90 - \frac{1}{10^{n}}) \approx \frac{180}{π} \times 10^{n}, n \in N$

Asher Olsen 2022-04-02

Suppose the minimum value of $\cos^{2} θ (θ_{1} - θ_{2}) + \cos^{2} (θ_{2} - θ_{3}) + \cos^{2} (θ_{3} - θ_{1})$ is $\frac{3}{4}$

ab0utfallingm1z2 2022-04-02

Sum of real solutions on equation
$\sqrt{\sin^{2} x + \frac{1}{2}} + \sqrt{\cos^{2} x + \frac{1}{2}} = 2$ in interval $[0, 2 π]$ is ?

acidizihvzs 2022-04-02

solving $y^{″} + y = \sec (x)$

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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