sin 2x/sin 3x + cos 2x/ cos 3x

asked by guest
on Nov 25, 2024 at 9:45 am



You asked:

Evaluate the expression: \(\frac{\sin\left( 2 x \right)}{\sin\left( 3 x \right)} + \frac{\cos\left( 2 x \right)}{\cos\left( 3 x \right)}\)

MathBot Answer:

Evaluated



\(\displaystyle \frac{\sin\left( 2 x \right)}{\sin\left( 3 x \right)} + \frac{\cos\left( 2 x \right)}{\cos\left( 3 x \right)} = \frac{\sin{\left(2 x \right)}}{\sin{\left(3 x \right)}} + \frac{\cos{\left(2 x \right)}}{\cos{\left(3 x \right)}} \)

Factored

\[\frac{\sin\left( 2 x \right)}{\sin\left( 3 x \right)} + \frac{\cos\left( 2 x \right)}{\cos\left( 3 x \right)} = \frac{\sin{\left(2 x \right)} \cos{\left(3 x \right)} + \sin{\left(3 x \right)} \cos{\left(2 x \right)}}{\sin{\left(3 x \right)} \cos{\left(3 x \right)}}\]

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