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

The general solution for 0=4-sec^2(x) is x= pi/3+2pin,x=(5pi)/3+2pin,x=(2pi)/3+2pin,x=(4pi)/3+2pin

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0=4-sec^2(x)

0 = 4 - sec^{2} (x)

x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn, x = \frac{2 π}{3} + 2 πn, x = \frac{4 π}{3} + 2 πn

Solution steps

0 = 4 - sec^{2} (x)

Switch sides

4 - sec^{2} (x) = 0

Solve by substitution

sec (x) = 2, sec (x) = - 2

sec (x) = 2 : x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

sec (x) = - 2 : x = \frac{2 π}{3} + 2 πn, x = \frac{4 π}{3} + 2 πn

Combine all the solutions

x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn, x = \frac{2 π}{3} + 2 πn, x = \frac{4 π}{3} + 2 πn

8 sin (x) = 0

sin (x) = \frac{1}{5} 5, cos (x) - tan (x)

cos^{2} (θ) - 2 cos (θ) - 1 = 0

tan (θ) = \frac{9.5}{6.4}

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

What is the general solution for 0=4-sec^2(x) ?
The general solution for 0=4-sec^2(x) is x= pi/3+2pin,x=(5pi)/3+2pin,x=(2pi)/3+2pin,x=(4pi)/3+2pin