What is the general solution for 7tan^2(x)-15=0 ?

The general solution for 7tan^2(x)-15=0 is x=0.97148…+pin,x=-0.97148…+pin

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7tan^2(x)-15=0

7 tan^{2} (x) - 15 = 0

x = 0.97148 \dots + πn, x = - 0.97148 \dots + πn

Solution steps

7 tan^{2} (x) - 15 = 0

Solve by substitution

tan (x) = \frac{15}{7}, tan (x) = - \frac{15}{7}

tan (x) = \frac{15}{7} : x = arctan (\frac{15}{7}) + πn

tan (x) = - \frac{15}{7} : x = arctan (- \frac{15}{7}) + πn

Combine all the solutions

x = arctan (\frac{15}{7}) + πn, x = arctan (- \frac{15}{7}) + πn

Show solutions in decimal form

x = 0.97148 \dots + πn, x = - 0.97148 \dots + πn

1 + cos^{2} (x) - 2 cos^{2} (\frac{x}{2}) = 0

2 cos^{2} (x) + 5 sin (x) = 5

\frac{h ( sin ^{2} ( x ) )}{( cos ( x ) - 1 )} = 0

cos (a) = \frac{- 3}{5}

cos (x) + sin (x - 1) = 0

What is the general solution for 7tan^2(x)-15=0 ?
The general solution for 7tan^2(x)-15=0 is x=0.97148…+pin,x=-0.97148…+pin