What is expand 2(arctan(tan(t))+pi/4) ?

The solution to expand 2(arctan(tan(t))+pi/4) is 2arctan(tan(t))+pi/2

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expand 2(arctan(tan(t))+pi/4)

expand

2 (arctan (tan (t)) + \frac{π}{4})

2 arctan (tan (t)) + \frac{π}{2}

Solution steps

2 (arctan (tan (t)) + \frac{π}{4})

Apply the distributive law:

a (b + c) = ab + a c

a = 2, b = arctan (tan (t)), c = \frac{π}{4}

= 2 arctan (tan (t)) + 2 \cdot \frac{π}{4}

2 \cdot \frac{π}{4} = \frac{π}{2}

= 2 arctan (tan (t)) + \frac{π}{2}

\frac{2 ( - 1 ) ^{k + 1} + ( - 1 ) ^{k} - 1}{2}

(1 + 3 \cdot i)^{4}

\frac{9}{4 x ( 5 x + 3 )}

\frac{2 ( x + 1 ) ( x - 1 )}{x + 3}

(7 x - 4) e^{4 x}

What is expand 2(arctan(tan(t))+pi/4) ?
The solution to expand 2(arctan(tan(t))+pi/4) is 2arctan(tan(t))+pi/2