# Precalculus questions and answers

Recent questions in Precalculus
topoit8d 2022-05-03 Answered

### Factor the polynomial ${s}^{2}-9s+14$.

ulcerat9jr 2022-05-03 Answered

### Expand the polynomial (1-4m)(4m-5).

iyiswad9k 2022-05-03 Answered

### Simplify (4-7y)(1-3y).

Treboldiqtw 2022-05-03 Answered

### Expand the polynomial (-2y-1)(7y+2).

dreangannaa 2022-05-03 Answered

### Expand the polynomial (u+2)(2u-5).

caldaridvq 2022-05-03 Answered

### What is $7{n}^{2}﻿-2n-4$ minus $6{n}^{2}+3$?

Averie Ray 2022-05-03 Answered

### What is $-{w}^{2}﻿-6w-4$ minus $-3{w}^{3}+2{w}^{2}-w+5$?

diasenamorn5l 2022-05-03 Answered

### Solve $\left(5{a}^{2}-a-1\right)﻿-\left(-6{a}^{2}+5a+7\right)=$?

dificultehcm 2022-05-03 Answered

### What is ${y}^{3}-3y+3$ minus $6{y}^{3}-{y}^{2}+7y-5$?

Aaron Coleman 2022-05-03 Answered

### Solve $\left(-7{x}^{3}-7{x}^{2}+4x\right)﻿-\left(7{x}^{3}+{x}^{2}+7x+3\right)=$?

Kailey Perez 2022-05-03 Answered

### Simplify$2\mathrm{sin}\left(x\right)\mathrm{cos}\left(7x\right)+\mathrm{sin}\left(6x\right)$

bacfrancaiso0j 2022-05-03 Answered

### Show that $5{\mathrm{cos}}^{2}x-2\sqrt{3}\mathrm{sin}x\mathrm{cos}x+3{\mathrm{sin}}^{2}x=\mathrm{cos}2x-\sqrt{3}\mathrm{sin}2x+4$

ulcerat9jr 2022-05-03 Answered

### Show that ${\mathrm{sin}10}^{\circ }$ is irrational.

Dereon Guzman 2022-05-03 Answered

### Show that $\mathrm{\forall }x\in \mathbb{R}$ $\mathrm{cos}\left(\mathrm{cos}x\right)>\mathrm{sin}\left(\mathrm{sin}x\right)$I've tried the obvious thing to do:$\phi :x↦\mathrm{cos}\left(\mathrm{cos}x\right)-\mathrm{sin}\left(\mathrm{sin}x\right)$${\phi }^{\prime }\left(x\right)=\mathrm{sin}\left(\mathrm{cos}x\right)\mathrm{sin}x-\mathrm{cos}\left(\mathrm{sin}x\right)\mathrm{cos}x$I'd like to show now that $\phi$ is a positive function for all $x\in \mathbb{R}$, but the derivative does not look friendly so either there's something with ${\phi }^{\prime }$. I'm not seeing or it's not the right way. Any hint or idea?

Eileen Garza 2022-05-03 Answered

### Show that$\frac{\mathrm{sin}\left(3x\right)}{\mathrm{sin}x}+\frac{\mathrm{cos}\left(3x\right)}{\mathrm{cos}x}=4\mathrm{cos}\left(2x\right)$

Treboldiqtw 2022-05-03 Answered

### Show that$-2\le \mathrm{cos}\theta \left(\mathrm{sin}\theta +\sqrt{{\mathrm{sin}}^{2}\theta +3}\right)\le 2$for all value of $\theta$.

Philip Ramirez 2022-05-03 Answered

### Series $\sum _{k=1}^{n}\frac{\mathrm{tan}\frac{x}{{2}^{k}}}{{2}^{k-1}\mathrm{cos}\frac{x}{{2}^{k-1}}}$

Davin Sheppard 2022-05-03 Answered

### Rewrite $f\left(x\right)=3\mathrm{sin}\left(\pi x\right)+3\sqrt{3}+3\sqrt{3}\mathrm{cos}\left(\pi x\right)$ in the form $f\left(x\right)=A\mathrm{sin}\left(Kx+D\right)$

Treboldiqtw 2022-05-03 Answered

### Range of $y={\mathrm{cot}}^{-1}x{\mathrm{cot}}^{-1}\left(-x\right)$Attempt: Let ${\mathrm{cot}}^{-1}x=\theta$ . Then $y=\theta \left(\pi -\theta \right)$ ;since $\theta \in \left(0,\pi \right)$.Then ${\theta }^{2}-\pi \theta +y=0$.For $\theta$ to be real, $y\le \frac{{\pi }^{2}}{4}$Thus $0

Essence Byrd 2022-05-02 Answered

### Expand the polynomial (m+1)(2m-7).

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.