cosα-sinα/cosα+sinα

asked by guest
on Sep 19, 2024 at 10:29 pm



You asked:

Evaluate the expression: \(\cos\left( α \right) - \frac{\sin\left( α \right)}{\cos\left( α \right)} + \sin\left( α \right)\)

MathBot Answer:

Evaluated



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

Factored

\[\cos\left( α \right) - \frac{\sin\left( α \right)}{\cos\left( α \right)} + \sin\left( α \right) = \frac{\sin{\left(α \right)} \cos{\left(α \right)} - \sin{\left(α \right)} + \cos^{2}{\left(α \right)}}{\cos{\left(α \right)}}\]

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