What is the general solution for tan^2(x)-3=0,0<x< pi/2 ?

The general solution for tan^2(x)-3=0,0<x< pi/2 is x= pi/3

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tan^2(x)-3=0,0<x< pi/2

tan^{2} (x) - 3 = 0, 0 < x < \frac{π}{2}

x = \frac{π}{3}

Solution steps

tan^{2} (x) - 3 = 0, 0 < x < \frac{π}{2}

Solve by substitution

tan (x) = 3, tan (x) = - 3

tan (x) = 3, 0 < x < \frac{π}{2} : x = \frac{π}{3}

tan (x) = - 3, 0 < x < \frac{π}{2} :

No Solution

Combine all the solutions

x = \frac{π}{3}

3 cot^{2} (x) = 7 csc (x) - 7

sin (x) = 0.86

2 sin (2 θ) + 3 = 0

sin^{2} (x) + 4 sin (x) + 3 = 0

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

What is the general solution for tan^2(x)-3=0,0<x< pi/2 ?
The general solution for tan^2(x)-3=0,0<x< pi/2 is x= pi/3