What is laplacetransform cos(100t+30) ?

The answer to laplacetransform cos(100t+30) is (cos(30)s-100sin(30))/(s^2+10000)

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laplacetransform cos(100t+30)

laplace transform

cos (100 t + 30)

\frac{cos ( 30 ) s - 100 sin ( 30 )}{s ^{2} + 10000}

Solution steps

L {cos (100 t + 30)}

Use Laplace Transform table:

L {cos (a t + b)} = \frac{s \cdot cos ( b ) - a \cdot sin ( b )}{s ^{2} + a ^{2}}

L {cos (100 t + 30)} = \frac{s cos ( 30 ) - 100 sin ( 30 )}{s ^{2} + 10 0 ^{2}}

= \frac{s cos ( 30 ) - 100 sin ( 30 )}{s ^{2} + 10 0 ^{2}}

= \frac{cos ( 30 ) s - 100 sin ( 30 )}{s ^{2} + 10000}

\frac{\partial}{\partial x} (2 y^{2} x)

N + 1 X

y^{^{''}} + 16 y = e^{2 t} tan (4 t)

x \to 2 lim ((x^{2} + 8) (2 x - 4))

y \to - \infty lim (\frac{2 - y}{7 + 6 y ^{2}})

What is laplacetransform cos(100t+30) ?
The answer to laplacetransform cos(100t+30) is (cos(30)s-100sin(30))/(s^2+10000)