What is the general solution for 7tan^2(x)-21=0 ?

The general solution for 7tan^2(x)-21=0 is x= pi/3+pin,x=(2pi)/3+pin

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7tan^2(x)-21=0

7 tan^{2} (x) - 21 = 0

x = \frac{π}{3} + πn, x = \frac{2 π}{3} + πn

Solution steps

7 tan^{2} (x) - 21 = 0

Solve by substitution

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

tan (x) = 3 : x = \frac{π}{3} + πn

tan (x) = - 3 : x = \frac{2 π}{3} + πn

Combine all the solutions

x = \frac{π}{3} + πn, x = \frac{2 π}{3} + πn

- 4 cos (x) = - sin^{2} (x) + 4

sin (x) cos (x) + sin (x) = 0

sin (θ) = 0.56

cos (x) - 5 sin (2 x) = 0

sin (θ) = 0.15

What is the general solution for 7tan^2(x)-21=0 ?
The general solution for 7tan^2(x)-21=0 is x= pi/3+pin,x=(2pi)/3+pin