What is expand x*(0.2sin(0.3t)+0.6cos(0.3t)) ?

The solution to expand x*(0.2sin(0.3t)+0.6cos(0.3t)) is 0.2xsin(0.3t)+0.6xcos(0.3t)

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expand x*(0.2sin(0.3t)+0.6cos(0.3t))

expand

x \cdot (0.2 sin (0.3 t) + 0.6 cos (0.3 t))

0.2 x sin (0.3 t) + 0.6 x cos (0.3 t)

Solution steps

x (0.2 sin (0.3 t) + 0.6 cos (0.3 t))

Apply the distributive law:

a (b + c) = ab + a c

x (0.2 sin (0.3 t) + 0.6 cos (0.3 t)) = x \cdot 0.2 sin (0.3 t) + x \cdot 0.6 cos (0.3 t)

= x \cdot 0.2 sin (0.3 t) + x \cdot 0.6 cos (0.3 t)

= 0.2 x sin (0.3 t) + 0.6 x cos (0.3 t)

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What is expand x*(0.2sin(0.3t)+0.6cos(0.3t)) ?
The solution to expand x*(0.2sin(0.3t)+0.6cos(0.3t)) is 0.2xsin(0.3t)+0.6xcos(0.3t)