What is the general solution for 3sec^2(x)-4=0,0<= x<2pi ?

The general solution for 3sec^2(x)-4=0,0<= x<2pi is x= pi/6 ,x=(11pi)/6 ,x=(5pi)/6 ,x=(7pi)/6

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3sec^2(x)-4=0,0<= x<2pi

3 sec^{2} (x) - 4 = 0, 0 \leq x < 2 π

x = \frac{π}{6}, x = \frac{11 π}{6}, x = \frac{5 π}{6}, x = \frac{7 π}{6}

Solution steps

3 sec^{2} (x) - 4 = 0, 0 \leq x < 2 π

Solve by substitution

sec (x) = \frac{2 3}{3}, sec (x) = - \frac{2 3}{3}

sec (x) = \frac{2 3}{3}, 0 \leq x < 2 π : x = \frac{π}{6}, x = \frac{11 π}{6}

sec (x) = - \frac{2 3}{3}, 0 \leq x < 2 π : x = \frac{5 π}{6}, x = \frac{7 π}{6}

Combine all the solutions

x = \frac{π}{6}, x = \frac{11 π}{6}, x = \frac{5 π}{6}, x = \frac{7 π}{6}

2 sec (θ) + 4 = 0

sin (x) = \frac{( 60 \cdot sin ( 15 5 ^{\circ} ) )}{97.72}

(1 - 2 cos (x)) (1 + sin (x)) = 0

3 cos (2 x) + 7 sin (x) - 5 = 0

cos^{2} (θ) = \frac{1}{3}

What is the general solution for 3sec^2(x)-4=0,0<= x<2pi ?
The general solution for 3sec^2(x)-4=0,0<= x<2pi is x= pi/6 ,x=(11pi)/6 ,x=(5pi)/6 ,x=(7pi)/6