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

The general solution for 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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4=sec^2(x)

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

4 = sec^{2} (x)

Switch sides

sec^{2} (x) = 4

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

tan (\frac{x}{2}) = 4

sec (x) sin (x) + sec (x) = 2 sec (x)

3 - sin (x) (4 + 6 sin (x)) = 0

cos (a) = - \frac{3}{5}, sin (a) > 0

cot (x) - cot (33.4 7^{\circ}) = \frac{1485}{2460}

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