cos3x-sin3x/cosx-sinx

asked by guest
on Nov 28, 2024 at 8:36 pm



You asked:

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

MathBot Answer:

Evaluated



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

Factored

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

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