What is the general solution for 14sin^2(x)=7 ?

The general solution for 14sin^2(x)=7 is x= pi/4+2pin,x=(3pi)/4+2pin,x=(5pi)/4+2pin,x=(7pi)/4+2pin

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14sin^2(x)=7

14 sin^{2} (x) = 7

x = \frac{π}{4} + 2 πn, x = \frac{3 π}{4} + 2 πn, x = \frac{5 π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

Solution steps

14 sin^{2} (x) = 7

Solve by substitution

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

sin (x) = \frac{1}{2} : x = \frac{π}{4} + 2 πn, x = \frac{3 π}{4} + 2 πn

sin (x) = - \frac{1}{2} : x = \frac{5 π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

Combine all the solutions

x = \frac{π}{4} + 2 πn, x = \frac{3 π}{4} + 2 πn, x = \frac{5 π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

csc (x) = sin (x)

tan (2 x + \frac{π}{3}) = 0

18 cos^{2} (x) = 9

\frac{1}{cot ( x )} - \frac{sec ( x )}{csc ( x )} = cos (x)

10 sin (x) + 10 cos^{2} (x) = 10, 0 \leq x < 2 π

What is the general solution for 14sin^2(x)=7 ?
The general solution for 14sin^2(x)=7 is x= pi/4+2pin,x=(3pi)/4+2pin,x=(5pi)/4+2pin,x=(7pi)/4+2pin