Given :
An equation, 2cos ß sin ß = cos ß .
To Find :
The value for above equation in (0, 2π ] .
Solution :
Now, 2cos ß sin ß = cos ß
2 sin ß = 1
sin ß = 1/2
We know, sin ß = sin (π/6) or sin ß = sin (5π/6) in ( 0, 2π ] .
Therefore,
![\beta = \dfrac{\pi}{6}\ or\ \beta = \dfrac{5\pi}{6}](https://tex.z-dn.net/?f=%5Cbeta%20%3D%20%5Cdfrac%7B%5Cpi%7D%7B6%7D%5C%20or%5C%20%5Cbeta%20%3D%20%5Cdfrac%7B5%5Cpi%7D%7B6%7D)
Hence, this is the required solution.
Answer:
6)C,120
7)B,60°
DOES THE ANSWER HELP YOU?
Answer: what what! Confused
Step-by-step explanation:
4(2x +5) = (8x + 20)
8x =20 is an equivalent expression
Answer:
Distribute, then combine like terms, subtract 10 from both sides of the equation, simplify, divide both sides of the equation by the same term, and simplify to get your solution.
Step-by-step explanation:
1.) Distribute
6−2(4−5)=40
6−8+10=40
2.) Combine like terms
6a-8a+10=40
-2a+10=40
3.) Subtract 10 from both sides of the equation
-2a+10=40
-2a+10-10=40-10
4.) Simplify
subtract the numbers
-2a+10-10=40-10
-2a=40-10
subtract the numbers
-2a=40-10
-2a=30
-2a=30
5.) Divide both sides of the equation by the same term
-2a=30
![\frac{-2a}{-2} =\frac{30}{-2}](https://tex.z-dn.net/?f=%5Cfrac%7B-2a%7D%7B-2%7D%20%3D%5Cfrac%7B30%7D%7B-2%7D)
6.) Simplify
cancel terms that are in both the numerator or denominator
![\frac{-2a}{-2} =\frac{30}{-2}](https://tex.z-dn.net/?f=%5Cfrac%7B-2a%7D%7B-2%7D%20%3D%5Cfrac%7B30%7D%7B-2%7D)
a=![\frac{30}{-2}](https://tex.z-dn.net/?f=%5Cfrac%7B30%7D%7B-2%7D)
Divide the numbers
a=![\frac{30}{-2}](https://tex.z-dn.net/?f=%5Cfrac%7B30%7D%7B-2%7D)
a=-15
a=-15
7.) Solution
a=-15