Answer:
n = π/6, π/4, 3π/4, 5π/6
Step-by-step explanation:
sin(3n) − sin n = cos(2n)
Use double and triple angle formulas:
(3 sin n − 4 sin³ n) − sin n = 1 − 2 sin² n
2 sin n − 4 sin³ n = 1 − 2 sin² n
4 sin³ n − 2 sin² n − 2 sin n + 1 = 0
Factor by grouping:
2 sin² n (2 sin n − 1) − (2 sin n − 1) = 0
(2 sin² n − 1) (2 sin n − 1) = 0
Solve:
2 sin² n − 1 = 0
2 sin² n = 1
sin² n = 1/2
sin n = √2/2
n = π/4, 3π/4
2 sin n − 1 = 0
2 sin n = 1
sin n = 1/2
n = π/6, 5π/6
Hope this is what you are looking for
Answer:
Step-by-it 14 hopes this help lol
The number of ounces of jam that each jar can hold is 4 large jars and 2 small jars.
<h3>What is Matrix?</h3>
A matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.
Here, from the given matrix by comparing the equations, we have:
l + 2s = 8 ...........(i)
l - s = 2 .............(ii)
Subtract the second equation from the first, to eliminate l
3s = 6
s = 2
Substitute 2 for s in l - s = 2
l - 2 = 2
Add 2 to both sides
l = 4
Thus, the number of ounces of jam that each jar can hold is 4 large jars and 2 small jars.
Learn more about matrix from:
brainly.com/question/11989522
#SPJ1
We know that vertically opposite angles are equal.
So, k = 131° [Vertically opposite angles]
and g = 43° [Vertically opposite angles]
We know that linear pair of angles are supplementary (180°).
So, h + 43° = 180° [Linear pair of angles]
=> h = 180° - 43°
=> h = 137°
and m + 131° = 180° [Linear pair of angles]
=> m = 180° - 131°
=> m = 49°
