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Popular >

sin^2(x)=sin(x)+1-sin^2(x)

Solution

sin^{2} (x) = sin (x) + 1 - sin^{2} (x)

Solution

x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn, x = \frac{π}{2} + 2 πn

+1

Solution steps

sin^{2} (x) = sin (x) + 1 - sin^{2} (x)

Solve by substitution

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

sin (x) = - \frac{1}{2} : x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

sin (x) = 1 : x = \frac{π}{2} + 2 πn

Combine all the solutions

x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn, x = \frac{π}{2} + 2 πn

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Frequently Asked Questions (FAQ)

What is the general solution for sin^2(x)=sin(x)+1-sin^2(x) ?
The general solution for sin^2(x)=sin(x)+1-sin^2(x) is x=(7pi)/6+2pin,x=(11pi)/6+2pin,x= pi/2+2pin