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Popular >

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

Solution

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

Solution

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn, x = \frac{3 π}{2} + 2 πn

+1

Solution steps

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

Solve by substitution

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

sin (x) = \frac{1}{2} : x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

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

Combine all the solutions

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn, x = \frac{3 π}{2} + 2 πn

Popular Examples

cosh(x)cosh(1)-sinh(x)sinh(1)=2

cosh (x) cosh (1) - sinh (x) sinh (1) = 2

cos^2(x)=(3(1-sin(x)))/2

cos^{2} (x) = \frac{3 ( 1 - sin ( x ) )}{2}

2cos(θ)=2cos(3θ)

2 cos (θ) = 2 cos (3 θ)

cos(t)+cos(2t)=-0.75

cos (t) + cos (2 t) = - 0.75

9.8*sin(α)-1.96*cos(α)=0.47

9.8 \cdot sin (α) - 1.96 \cdot cos (α) = 0.47

Frequently Asked Questions (FAQ)

What is the general solution for 2sin^2(x)-1=-sin(x) ?
The general solution for 2sin^2(x)-1=-sin(x) is x= pi/6+2pin,x=(5pi)/6+2pin,x=(3pi)/2+2pin