Trigonometry Examples

$3 \sin (w t) + 2 \cos (w t) = R (\sin (w t) \cdot \cos (a) + \cos (w t) \cdot \sin (a))$

Step 1

Subtract $R (\sin (w t) \cdot \cos (a) + \cos (w t) \cdot \sin (a))$ from both sides of the equation.

$3 \sin (w t) + 2 \cos (w t) - R (\sin (w t) \cdot \cos (a) + \cos (w t) \cdot \sin (a)) = 0$

Step 2

Simplify each term.

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Step 2.1

Multiply $\cos (w t)$ by $\sin (a)$ .

$3 \sin (w t) + 2 \cos (w t) - R (\sin (w t) \cos (a) + \cos (w t) \sin (a)) = 0$

Step 2.2

Apply the distributive property.

$3 \sin (w t) + 2 \cos (w t) - R \sin (w t) \cos (a) - R \cos (w t) \sin (a) = 0$

Step 3

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.