Answer:
sin 5x cos x - cos 5x sin x = sin(4x)
Step-by-step explanation:
Given that the trigonometric expression,
sin 5x cos x - cos 5x sin x
Here we use the "sum and difference formulas"
Sum and Difference Formulas
sin(A+B)=sin A cos B + cos A sin B
sin(A-B)=sin A cos B - cos A sin B
cos(A+B)=cos A cos B - sin A sin B
cos(A-B)=cos A cos B + sin A sin B
So,
sin 5x cos x - cos 5x sin x = sin (5x - x)
sin 5x cos x - cos 5x sin x = sin(4x)
That's the final answer.
Answer:
a line graph!
Step-by-step explanation:
have you ever seen the line graph emoji?
businesses usually use line graphs to show their profit over the year, month, or week!
Answer:
K = 151.9422481
Step-by-step explanation:
At the end of year 10, your perpetuity is worth 100/i
(1) is worth 90×s_{10%i}
So if you set them equal you get 90*[(1+i)^10 - 1]/i = 100/i or [(1+i)^10 - 1] = 10/9 or (1+i)^10 = 19/9 or i = 0.077583937
So now the question compare (1) to (2), at t = 0
(1) is worth 90×a_{10%i} = 90(1 - 1/(1.077583937)^10)/0.077583937 = 610.5441743
(2) is worth K×a_{5%i} = 4.018264714×K
Therefore K = 151.9422481
Answer:
1.047 ft
Step-by-step explanation:
The length of an arc is given by ...
s = rθ
where s is the arc length, r is the radius, and θ is the central angle in radians. Your arc subtends an angle of 12° = (12·π/180) = π/15 radians. The length of the arc is then ...
s = (5 ft)(π/15) = π/3 ft ≈ 1.047 ft
Answer: the no.s are-
2.472
-6.472
Step-by-step explanation:
xy=24-----1
x+y=-4------2
from 2 we get x=-4-y
sustituting=
into 1 we get
quadratic eq = y^2 + 4y + 24=0
so
-4+- root 16-96/2
thus on further solving we get -2 +-4.472
on adding= -2+4.472= 2.472
on subtraction= -2 -4.472= -6.472
