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Popular >

simplify arctan(tan(x+pi/8))

Solution

simplify

arctan (tan (x + \frac{π}{8}))

Solution

arctan \frac{\frac{2 + 2}{2} sin ( x ) + \frac{2 - 2}{2} cos ( x )}{\frac{2 + 2}{2} cos ( x ) - \frac{2 - 2}{2} sin ( x )}

Solution steps

arctan (tan (x + \frac{π}{8}))

Rewrite using trig identities

= arctan \frac{\frac{2 + 2}{2} sin ( x ) + \frac{2 - 2}{2} cos ( x )}{\frac{2 + 2}{2} cos ( x ) - \frac{2 - 2}{2} sin ( x )}

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Frequently Asked Questions (FAQ)

What is arctan(tan(x+pi/8)) ?
The solution to arctan(tan(x+pi/8)) is