What is the general solution for tan^2(x)=500 ?

The general solution for tan^2(x)=500 is x=1.52610…+pin,x=-1.52610…+pin

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tan^2(x)=500

tan^{2} (x) = 500

x = 1.52610 \dots + πn, x = - 1.52610 \dots + πn

Solution steps

tan^{2} (x) = 500

Solve by substitution

tan (x) = 105, tan (x) = - 105

tan (x) = 105 : x = arctan (105) + πn

tan (x) = - 105 : x = arctan (- 105) + πn

Combine all the solutions

x = arctan (105) + πn, x = arctan (- 105) + πn

Show solutions in decimal form

x = 1.52610 \dots + πn, x = - 1.52610 \dots + πn

cot (x) + tan (x) = 1

2 cos (x) - 3 sin (x) = - 2

tan (x) = 2 - cot (x)

cosh^{2} (x) - 10 cosh (x) + 25 = 0

6 cos (x) + 1 = 4

What is the general solution for tan^2(x)=500 ?
The general solution for tan^2(x)=500 is x=1.52610…+pin,x=-1.52610…+pin