What is tan((3pi)/4+x) ?

The solution to tan((3pi)/4+x) is -(cos(x)-sin(x))/(cos(x)+sin(x))

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simplify tan((3pi)/4+x)

simplify

tan (\frac{3 π}{4} + x)

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

Solution steps

tan (\frac{3 π}{4} + x)

Rewrite using trig identities

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

sin (- x) \cdot csc (x) tan (- x)

cos (\frac{3 π}{2} + θ)

csc (2 π + y)

1 + cos (2 x)

16 - (4 sin (x))^{2}

What is tan((3pi)/4+x) ?
The solution to tan((3pi)/4+x) is -(cos(x)-sin(x))/(cos(x)+sin(x))