- #1
grafs50
- 16
- 0
Homework Statement
Can you all help?
The problem is 2 sin(x/2) - 1 = 0 I don't know what to do with the (x/2).
The Attempt at a Solution
So far I've done this:
2 sin(x/2)-1=0
2 sin(x/2)=1
sin(x/2)=1/2
grafs50 said:Thanks, I got 22.5 and 67.5 which seems to be right.
I just really don't understand how sin sqrt(2)/2 equals both 67.5 and 22.5 degrees. They are not the same on the unit circle. What about 112.5 and 157.5 degrees. And different rules seem to apply for tan and cos.
For Sine, does just the y-coordinates have to match? What about for Cos and Tan? We are working off-book so I can't look in the book to find how it works and I'm pretty confused.
Precalculus is a branch of mathematics that deals with the concepts and principles of algebra, geometry, and trigonometry. It is considered as a preparation course for calculus.
Trigonometric equations are mathematical equations that involve trigonometric functions, such as sine, cosine, and tangent. These equations are used to model and solve problems related to triangles and periodic phenomena.
To solve trigonometric equations, we use algebraic techniques such as factoring, substitution, and the use of trigonometric identities. We also use the unit circle and special triangles to find solutions.
Precalculus provides the necessary foundations and concepts for solving trigonometric equations. It helps us understand the properties of trigonometric functions and their behavior, which is crucial in solving equations involving these functions.
Practice is key in improving your skills in solving precalculus questions using trigonometric equations. Make sure to review the fundamental concepts and techniques, and try to solve a variety of problems to strengthen your understanding. Seeking help from a tutor or attending extra help sessions can also be beneficial.