Use a calculator to solve the equation on the interval [0, 2π). (see picture for more info). Thanks a lot!?!
4 Answers
Explanation:
Depending on the model you use, there can be a variety of approaches to find zeros on a particular interval. If you are using a GDC like the TI-84, you might be able to determine zeros of the equation by defining, plotting, and analyzing the graph of the function
http://www.dummies.com/education/graphing-calculators/how-to-find-the-zeroes-of-a-function-with-the-ti-84-plus/
On the other hand, you could have been able to solve this equation by applying the doubling angle identity for the sine function,
Therefore
Factor out
By the factor theorem the function would have a zero as long as at least one of these equation holds:
Referring to a unit circle, along with
Evaluate these expressions on your calculator and ask for the decimal output to find the answer choice to this question. (Use
You can verify these results by substituting the equation with the respective values of
Alright what you plug into your calculator will be inverse trig...
See below
Explanation:
Sin double angle identity:
Factor with GCF:
You won't need inverse trig as these values are on the unit circle-
For
For
The answer is the last option
0, 1.05, 3.14, 5.24
Explanation:
Because the domain given lists 0 as inclusive, the 0 stays as a solution
I've plugged into my calculator
solve
Into decimals:
0, 1.05, 3.14, 5.24
Answer #4
Explanation:
sin 2x - sin x = 0
Using trig identity: sin 2x = 2sin x.cos x, we get:
2sin x.cos x - sin x = 0
sin x.(2cos x - 1) = 0
Either factor should be zero.
a. sin x = 0
Unit circle gives -->
x = 0,
b. 2cos x - 1 = 0
Trig table and unit circle give 2 solutions;
Answers for half closed interval [0, 2pi):
In radian:
[0, 1.05, 3.14, 5.24) -> Answer # 4