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What is the period of sin3x plus cos3x?
The period of sin + cos is 2*pi radians (360 degrees) so the period of sin(3x) + cos(3x) is 2*pi/3 radians.
Sin2x equals cos3x find x?
0. sin 2x = cos 3x 1. sin 2x = sin (pi/2 - 3x) [because cos u = sin (pi/2 - u)] 2. [...]
Cos x - cos x sin2 x equals cos3x?
cos(x)-cos(x)sin2(x)=[cos(x)][1-sin2(x)]cos(x)-cos(x)sin2(x)=[cos(x)][cos2(x)]cos(x)-cos(x)sin2(x)=cos3(x)
How do you solve the limit 1-cos3x divided sin squred2 7x approches 0?
This is a perfect time to use l'Hospital's rule: If a fraction becomes 0/0 at the limit (like this one does), then the limit of the fraction is equal to the limit of (derivative of the numerator)/(derivative of the denominator) . I'm not sure why l'Hospital's rule stuck with me all these years. But when it's appropriate, like for this one, you can't beat it.
What is a definition of a formula in ict?
a formula is a formula <3 simples!
How do you express sin 3x as a polynom with sin x using the De Moivre formula?
According to de Moivre's formula, cos3x + isin3x = (cosx + isinx)3 = cos3x + 3cos2x*isinx + 3cosx*i2sin2x + i3sin3x Comparing the imaginary parts, isin3x = 3cos2x*isinx + i3sin3x so that sin3x = 3cos2x*sinx - sin3x = 3*(1-sin2x)sinx - sin3x = 3sinx - 4sin3x
Integration of cos3 x?
int cos3x=sin3x/3+c
What is the integral for sin3x?
S sin3X dx =-1/3 cos3X
What is the period of sin3x plus cos3x?
The period of sin + cos is 2*pi radians (360 degrees) so the period of sin(3x) + cos(3x) is 2*pi/3 radians.
Sin2x equals cos3x find x?
0. sin 2x = cos 3x 1. sin 2x = sin (pi/2 - 3x) [because cos u = sin (pi/2 - u)] 2. [...]
Solve sin3x plus cos3x equals 6?
If you want sin(3x) + cos(3x) = 6, then this is impossible. Sine and cosine will only return values between -1 and 1, so the expression sin(3x) + cos(3x) could only take values from -2 to 2, although even this is to great as sine and cosine of the same number will never both be 1 or -1. Similarly, if you want a solution to sin3x + cos3x = 6, then this is also impossible, because any power of a number between -1 and 1 will itself be between -1 and 1.
What is a proof in calculus?
A proof in calculus is when it will make a statement, such as: If y=cos3x, then y'''=18sin3x. Then it will tell you to do a proof. This means you have to solve the equation step by step, coming to the solution, which should be the same as in the statement. If you do come to the same answer as in the statement, then you just correctly did a calculus proof.
What is the integral of sin x cubed?
= cos(x)-(cos3(x))/3 * * * * * Right numbers, wrong sign! Int(sin3x)dx = Int(sin2x*sinx)dx = Int[(1-cos2x)*sinx]dx = Int(sinx)dx + Int[-cos2x*sinx]dx Int(sinx)dx = -cosx . . . . . (I) Int[-cos2x*sinx]dx Let u = cosx, the du = -sinxdx so Int(u2)du = u3/3 = 1/3*cos3x . . . . (II) So Int(sin3x)dx = 1/3*cos3x - cosx + C Alternatively, using the multiple angle identities, you can show that sin3x = 1/4*[3sinx - sin3x] which gives Int(sin3x)dx = 1/4*{1/3*cos(3x) - 3cosx} + C
How do you integrate cosine squared times sine?
Trying to integrate: cos2x sin x dx Substitute y = cos x Then dy = -sin x dx So the integral becomes: -y2dy Integrating gives -1/3 y3 Substituting back: -1/3 cos3x
Cos x - cos x sin2 x equals cos3x?
cos(x)-cos(x)sin2(x)=[cos(x)][1-sin2(x)]cos(x)-cos(x)sin2(x)=[cos(x)][cos2(x)]cos(x)-cos(x)sin2(x)=cos3(x)
What is the chemical formula for calcium metal?
What Is The Formula What Is The Formula What Is The Formula For Calcium Phosphate ?
When a formula is in an active cell the underlying formula is visible in the what Formula Bar or Worksheet or Status bar or Name Box?
If there is a formula in the active cell, then the formula will be displayed in the formula bar and the result of the formula will appear in the cell.
