Precalculus Solutions | Expert Assistance for Problems & Examples

Find the number of irrational roots of the equation
$\frac{4 x}{x^{2} + x + 3} + \frac{5 x}{x^{2} - 5 x + 3} = - \frac{3}{2} .$

Timiavawsw9 2022-05-23

prove without a calculator that if $\tan (p) = 1$ and $\tan (q) = 2$ then
$\frac{\sin (p + q)}{\cos (p) \cos (q)} = 3$

wanaopatays 2022-05-22

How to solve $\cos^{2} x - \sin^{2} x - 1 = 0$ ?

skottyrottenmf 2022-05-22

How does $\cos (x) \cdot \cos (\frac{3}{2} x)$ become $\frac{1}{2} (\cos (\frac{1}{2} x) + \cos (\frac{5}{2} x))$ ?

Elisha Kelly 2022-05-22

Find the period of $\cos x - \sin x$
Show that f had period of $2 π$
How do you find the period of a function that has several trigonometric functions like this one?
I tried converting them all to sine:
$f (x) = \sqrt{1 - \sin^{2} x} - \sin x$
But what do I do next?

Ryan Reynolds 2022-05-22

Let $n \in Z$ be an integer such that $| \cos n | < \frac{1}{4}$ . Prove that $| \cos (n + 1) | > \frac{1}{4}$

Erick Clay 2022-05-22

Let's say, I have 4 yellow and 5 blue balls. How do I calculate in how many different orders I can place them? And what if I also have 3 red balls?

res2bfitjq 2022-05-22

How would you mathematically find the the max and min points of $P (x)$ without graphing?
$P (x) = 5 \sin (\frac{π}{6} x) + 10 \cos (\frac{π}{6} x) + 11.2$

Denisse Valdez 2022-05-22

Different ways of solving $\sin x \cos y = - 1 / 2$ and $\cos x \sin y = 1 / 2$

Simone Werner 2022-05-22

How can we show that the number of pairs $(a, b)$ (where the pairs $(a, b)$ and $(b, a)$ are considered same) with $lcm (a, b) = n$ is equal to
$\frac{(2 e_{1} + 1) (2 e_{2} + 1) . . . (2 e_{k} + 1) + 1}{2},$
Where
$n = p_{1}^{e_{1}} p_{2}^{e_{2}} \dots p_{k}^{e_{k}}$ , pis are prime for all $1 \leq i \leq k$ .

Eliaszowyr1 2022-05-22

How many solutions the equation $(x - 2) (x + 1) (x + 6) (x + 9) + 108 = 0$ has in the interval $(- 10, - 1)$ ?

Eliaszowyr1 2022-05-22

I want to show that,
$\frac{Φ \tan 9^{\circ} - ϕ \tan 27^{\circ}}{\sin^{2} 9^{\circ} - \sin^{2} 27^{\circ}} = 4$

Jordyn Calhoun 2022-05-22

Solving $\sqrt[3]{x - 3} + \sqrt[3]{1 - x} = 1$

Kozankaht2 2022-05-22

to find minimum value of $\sec A + \sec B$ given $A + B = \frac{π}{3}$ , A>0 , $B < \frac{π}{3}$ .
i put $B = \frac{π}{3} - A$ but how to proceed?

Jorge Lawson 2022-05-22

Prove that $\sin \frac{π}{7} \sin \frac{2 π}{7} \sin \frac{3 π}{7} = \frac{\sqrt{7}}{8}$

Alessandra Clarke 2022-05-22

Prove: $\cos^{2} x (\sec x - 1) (\sec x + 1) = (1 - \cos x) (1 + \cos x)$

Jerry Villegas 2022-05-22

If $x^{2} - 10 a x - 11 b = 0$ has roots c and d and $x^{2} - 10 c x - 11 d = 0$ has roots a and b, then find $a + b + c + d$ ?

Yasmin Camacho 2022-05-22

Prove that $\cos (π / 7)$ is root of equation $8 x^{3} - 4 x^{2} - 4 x + 1 = 0$

Aiden Barry 2022-05-22

Find the minimum value of the following expression
$\frac{\sin α \sin β}{\sin^{2} \frac{γ}{2}} + \frac{\sin β \sin γ}{\sin^{2} \frac{α}{2}} + \frac{\sin γ \sin α}{\sin^{2} \frac{β}{2}},$
where $α, β$ and $γ -$ − angles of some triangle?

Simone Werner 2022-05-22

Simplify $\frac{1 - \cos^{2} (- θ)}{1 + \tan^{2} (- θ)}$

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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