0
How do you use the Euler's formula to obtain the sin3X in terms of cosX and sinX?
Wiki User
∙ 11y ago
Using Euler's Formula, you use
(cos(x) + i sin(x))^n = cos (nx) + i sin(nx)
Now you let n=3
(cos(x) + i sin (x))3 = cos(3x) + i sin (3x)
(cos(x))3 + 3(cos(x))2 * i sin(x) + 3cos(x) * i2 (sin(x))3 = cos(3x)+ i sin(3x)
(cos(x))3 + i(3sin(x)(cos (x))2) - 3cos(x)(sin(x)2) - i(sin(x))3 = cos (3x) + i sin(3x)
Now only use the terms with i in them to figure out what sin(3x) is...
3sin(x)(cos(x))2 - (sin(x))3 = sin(3x)
Hope this helps! :D
Wiki User
∙ 11y ago
Add your answer:
Earn +20 pts
How do you find the radius of a circle when the area is given?
-- Take the formula for the area of the circle in terms of the radius . . . A = (pi) R2-- Solve that formula for 'R'. You'll then have a formula for the radius in terms of the area,which is exactly what you're looking for.
What terms is the molecular formula for H2O expressed in?
moles
Can anyone explain the great circle formula in layman terms?
Yes the great circle formula is the same formula for any other circle.
What is formula for force in terms of pressure?
F=A/P fapfapfapfap
What are some geometry terms that start with the letter f?
formula
What terms defined as mathematical equations based on rules of physics?
It is formula of which the plural is formulae
What is the formula for labor forecasting?
There is no single formula since the models that are used vary quite considerably in terms of their complexity.
What is the Formula for depth in terms of pressure?
The formula for depth in terms of pressure is given by: depth = (pressure)/(density*g), where pressure is the pressure at the depth, density is the density of the fluid, and g is the acceleration due to gravity. This formula is derived from the hydrostatic pressure equation.
What is the chemical formula in terms of chemical bonding in zinc chloride?
ZnCl2
What does Formula mean in computer terms?
it means the pack in a set of work
What is the formula for acceleration in terms of v and t?
A=v/tx1/4
What is the Sn formula?
The formula for the sum of the first n terms of an arithmetic progression is Sn = n/2 * (a + l), where Sn is the sum, n is the number of terms, a is the first term, and l is the last term.
