What is the general solution for tan(x)=0.25 ?

The general solution for tan(x)=0.25 is x=0.24497…+pin

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tan(x)=0.25

tan (x) = 0.25

x = 0.24497 \dots + πn

Solution steps

tan (x) = 0.25

Apply trig inverse properties

x = arctan (0.25) + πn

Show solutions in decimal form

x = 0.24497 \dots + πn

2 sec (x) sin (x) + 2 = 4 sin (x) + sec (x)

4 sin (x) cos (x) - 3 cos (x) = 0

sin (θ) = - 0.5, sec (θ - \frac{π}{2})

sin (x) - 1 = 0, 0 \leq x \leq 2 π

3 tan^{3} (θ) + 3 tan^{2} (θ) - tan (θ) - 1 = 0

What is the general solution for tan(x)=0.25 ?
The general solution for tan(x)=0.25 is x=0.24497…+pin