Answer:
1. 0, 2 π , π , 2 π/3 , 4 π/3
2. 7 π/6 , 11 π/6
Step-by-step explanation:
1. we want to find the value of theta
Let us represent theta by x for ease of documentation
So we have ;
sin 2x + sin x = 0
Mathematically;
sin 2x = 2sinxcosx
So;
2 sin x cos x + sin x = 0
sin x (2 cos x + 1) = 0
sin x = 0
or
2cos x + 1 = 0
x = arc sin (0)
within the given range;
x = theta = 0 , 2 π , π
For;
2 cos x + 1 = 0
2cos x = -1
cos x = -1/2
cos x = -0.5
x = arc cos (-0.5)
x = 2 π/3 , 4 π/3
2. cos 2 x = 1 + sin x
Mathematically;
cos 2 x = 1-2 sin^2x
let sin x = y
1-2y^2 = 1 + y
y = -2y^2
1 = -2y
y = -1/2
y = -0.5
sin x = y
sin x = -0.5
x = arc sin (-0.5)
x = 7 π/6 , 11 π/6
The answer is 1 3/5.
Hope this helps!
Have a NICE DAY!
Answer:
Step-by-step explanation:
If its a square all the sides are equal so therefor if it took up ten inches of the plate the length is <u>10 by 10 so 100</u> because <u>the equation for length is base times height.</u>
The translation is Let X,Y and Z be subsets of a universe set U, Are the following statement valid?
<h3>What is the sentence about?</h3>
Others are:
- Y-X=X UT
- Tip: Define non-empty sets and apply the relationship that is requested to verify. Or True False
Note that X,Y and Z be subsets of a universe set U and as such, the statement of Y-X=X UT is false.
Learn more about Spanish math from
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Answer
use "papa math"
Step-by-step explanation:
