Heather Eichman

University of Alabama at Huntsville
Elementary School Technology Club Leader

Biography

I'm currently a sophomore in college studying for a Bachelor's degree in Computer Engineering. I have a lot of experience with difficult STEM concepts and courses, but math is my specialty. I have taken college level courses for Calculus A, B, and C, as well as Linear Algebra and Differential Equations. While I was in high school, I created an after-school club for elementary aged students teaching them about technology, with a focus on programming. I would love to have the opportunity to be able to teach STEM topics again to students who need it.

Education

BA Computer Engineering
University of Alabama at Huntsville

Educator Statistics

Numerade tutor for 5 years
252 Students Helped

Topics Covered

Exploring Probability Topics: From Basics to Advanced Strategies
Exploring the World of Derivatives: A Comprehensive Guide
Mastering Polynomials: Essential Tips and Tricks | [Brand Name]
Solving Systems of Equations and Inequalities: A Comprehensive Guide
The Power of Integers: Unlocking Their Potential
Mastering Equations and Inequalities: Your Guide to Mathematical Success
Master Trigonometry with Our Comprehensive Guide
Discover the Basics of Trigonometry: Your Introduction to Triangles
Differential Equations Made Simple: Expert Tips & Resources

Heather's Textbook Answer Videos

01:36
Precalculus with Limits

In Exercises 51 and 52, describe the error(s).
$$\frac{1+\sec (-\theta)}{\sin (-\theta)+\tan (-\theta)}=\frac{1-\sec \theta}{\sin \theta-\tan \theta}$$
$$=\frac{1-\sec \theta}{(\sin \theta)[1-(1 / \cos \theta)]}$$
$$=\frac{1-\sec \theta}{\sin \theta(1-\sec \theta)}$$
$$=\frac{1}{\sin \theta}=\csc \theta$$

Chapter 5: Analytic Trigonometry
Section 2: Verifying Trigonometric Identities
Heather Eichman
01:50
Precalculus with Limits

In Exercises 53 -58, (a) use a graphing utility to graph each side of the equation to determine whether the equation is an identity, (b) use the table feature of the graphing utility to determine whether the equation is an identity, and (c) confirm the results of parts (a) and (b) algebraically.
$$\left(1+\cot ^{2} x\right)\left(\cos ^{2} x\right)=\cot ^{2} x$$

Chapter 5: Analytic Trigonometry
Section 2: Verifying Trigonometric Identities
Heather Eichman
02:38
Precalculus with Limits

InExercises 53 -58, (a) use a graphing utility to graph each side of the equation to determine whether the equation is an identity, (b) use the table feature of the graphing utility to determine whether the equation is an identity, and (c) confirm the results of parts (a) and (b) algebraically.
$$\csc x(\csc x-\sin x)+\frac{\sin x-\cos x}{\sin x}+\cot x=\csc ^{2} x$$

Chapter 5: Analytic Trigonometry
Section 2: Verifying Trigonometric Identities
Heather Eichman
02:48
Precalculus with Limits

InExercises 53 -58, (a) use a graphing utility to graph each side of the equation to determine whether the equation is an identity, (b) use the table feature of the graphing utility to determine whether the equation is an identity, and (c) confirm the results of parts (a) and (b) algebraically.
$$2+\cos ^{2} x-3 \cos ^{4} x=\sin ^{2} x\left(3+2 \cos ^{2} x\right)$$

Chapter 5: Analytic Trigonometry
Section 2: Verifying Trigonometric Identities
Heather Eichman
01:36
Precalculus with Limits

InExercises 53 -58, (a) use a graphing utility to graph each side of the equation to determine whether the equation is an identity, (b) use the table feature of the graphing utility to determine whether the equation is an identity, and (c) confirm the results of parts (a) and (b) algebraically.
$$\tan ^{4} x+\tan ^{2} x-3=\sec ^{2} x\left(4 \tan ^{2} x-3\right)$$

Chapter 5: Analytic Trigonometry
Section 2: Verifying Trigonometric Identities
Heather Eichman
01:48
Precalculus with Limits

In Exercises 53 -58, (a) use a graphing utility to graph each side of the equation to determine whether the equation is an identity, (b) use the table feature of the graphing utility to determine whether the equation is an identity, and (c) confirm the results of parts (a) and (b) algebraically.
$$\frac{1+\cos x}{\sin x}=\frac{\sin x}{1-\cos x}$$

Chapter 5: Analytic Trigonometry
Section 2: Verifying Trigonometric Identities
Heather Eichman
1 2 3 4 5 ... 42

Heather's Quick Ask Videos

02:58
Calculus 1 / AB

Both Problems

Heather Eichman
1