What is the general solution for 6tan^2(x)+8=10 ?

The general solution for 6tan^2(x)+8=10 is x=0.52359…+pin,x=-0.52359…+pin

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6tan^2(x)+8=10

6 tan^{2} (x) + 8 = 10

x = 0.52359 \dots + πn, x = - 0.52359 \dots + πn

Solution steps

6 tan^{2} (x) + 8 = 10

Solve by substitution

tan (x) = \frac{1}{3}, tan (x) = - \frac{1}{3}

tan (x) = \frac{1}{3} : x = arctan (\frac{1}{3}) + πn

tan (x) = - \frac{1}{3} : x = arctan (- \frac{1}{3}) + πn

Combine all the solutions

x = arctan (\frac{1}{3}) + πn, x = arctan (- \frac{1}{3}) + πn

Show solutions in decimal form

x = 0.52359 \dots + πn, x = - 0.52359 \dots + πn

2 sin (x - \frac{π}{4}) + 2 cos (x) = 1

sin^{2} (θ) = 2 cos (θ) + 1

sin (6 x) cos (10 x) - cos (6 x) sin (10 x) = - 0.1

(cos (θ)) (cos (θ) + 1) = 0

5 - tan^{2} (x) = 4, 0^{\circ} \leq x \leq 36 0^{\circ}

What is the general solution for 6tan^2(x)+8=10 ?
The general solution for 6tan^2(x)+8=10 is x=0.52359…+pin,x=-0.52359…+pin