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Popular >

tan^2(x)+2tan(x)-1=0

Solution

tan^{2} (x) + 2 tan (x) - 1 = 0

Solution

x = 0.39269 \dots + πn, x = - 1.17809 \dots + πn

+1

Solution steps

tan^{2} (x) + 2 tan (x) - 1 = 0

Solve by substitution

tan (x) = - 1 + 2, tan (x) = - 1 - 2

tan (x) = - 1 + 2 : x = arctan (- 1 + 2) + πn

tan (x) = - 1 - 2 : x = arctan (- 1 - 2) + πn

Combine all the solutions

x = arctan (- 1 + 2) + πn, x = arctan (- 1 - 2) + πn

Show solutions in decimal form

x = 0.39269 \dots + πn, x = - 1.17809 \dots + πn

Popular Examples

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Frequently Asked Questions (FAQ)

What is the general solution for tan^2(x)+2tan(x)-1=0 ?
The general solution for tan^2(x)+2tan(x)-1=0 is x=0.39269…+pin,x=-1.17809…+pin