What is the general solution for arctan(2x)+arctan(x)= pi/2 ?

The general solution for arctan(2x)+arctan(x)= pi/2 is No Solution for x\in\mathbb{R}

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arctan(2x)+arctan(x)= pi/2

arctan (2 x) + arctan (x) = \frac{π}{2}

No Solution for x \in R

Solution steps

arctan (2 x) + arctan (x) = \frac{π}{2}

Rewrite using trig identities

arctan (\frac{2 x + x}{1 - 2 xx}) = \frac{π}{2}

- \frac{π}{2} < arctan (x) < \frac{π}{2}

No Solution

Verify solutions by plugging them into the original equation

No Solution for x \in R

sec (\frac{b}{4}) csc (\frac{b}{4}) = 2 csc (\frac{b}{4})

2 cos (x) - 5 = 3 cos (x) - 4

\frac{π}{2} = arctan (x)

cos (n x) = 0

cos^{3} (θ) = cos (θ)

What is the general solution for arctan(2x)+arctan(x)= pi/2 ?
The general solution for arctan(2x)+arctan(x)= pi/2 is No Solution for x\in\mathbb{R}