You are here:

Advanced Math/trig equations

Advertisement

Expert: Sherry Wallin - 4/13/2010


Question
what is 4sinsquaredx-3=0  in (0,360 degrees)

Answer
Hi Chase~
    4sin^2x -3 = 0 -> 4sin^2x=3 -> sin^2x = 3/4 -> sin x = +-sqrt(3)/2 so you want to know what angle(s) x where the sin x has the values +-sqrt(3)/2. Sin 60 deg is sqrt(3)/2 as well as sin 120 deg (because the reference angle is 60 deg). Likewise sin 240 deg is -sqrt(3)/2 because of the reference angle being 60 deg and finally the sin 300 deg is -sqrt(3)/2 since it's angle is -60 deg.

Math Prof

Advanced Math

All Answers

Answers by Expert:

Ask Experts

Volunteer

Sherry Wallin

Expertise

I can answer most questions up through Calculus and some in Number Theory and Abstract Algebra.

Experience

I have had my Bachelor's Degree since 1987 and have been a teacher since 1988. I earned my Masters Degree in Mathematics May 2010. I have been teaching at the same community college since 2002.

Education/Credentials
I have taught 12 years at the community college level, medical college, and technical college as well as a high school instructor and alternative education instructor and charter school instructor.

Awards and Honors
Master's GPA 3.56 Bachelor's GPA 3.34 Post grad work not degree related GPA 4.0

©2012 About.com, a part of The New York Times Company. All rights reserved.