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Popular >

3sin^2(x)-cos^2(x)=0

Solution

3 sin^{2} (x) - cos^{2} (x) = 0

Solution

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

+1

Solution steps

3 sin^{2} (x) - cos^{2} (x) = 0

Factor

3 sin^{2} (x) - cos^{2} (x) : (3 sin (x) + cos (x)) (3 sin (x) - cos (x))

(3 sin (x) + cos (x)) (3 sin (x) - cos (x)) = 0

Solving each part separately

3 sin (x) + cos (x) = 0 or 3 sin (x) - cos (x) = 0

3 sin (x) + cos (x) = 0 : x = \frac{5 π}{6} + πn

3 sin (x) - cos (x) = 0 : x = \frac{π}{6} + πn

Combine all the solutions

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

Popular Examples

solvefor tan(θ)=(1.0667)/(0.5),θ solve for

tan (θ) = \frac{1.0667}{0.5}, θ

cos^2(x)+cos(x)-1=0

cos^{2} (x) + cos (x) - 1 = 0

2 = sec (x)

sin(x/2-pi/3)= 1/2

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

2tan(x)+sec(x)=0,0<= x<2pi

2 tan (x) + sec (x) = 0, 0 \leq x < 2 π

Frequently Asked Questions (FAQ)

What is the general solution for 3sin^2(x)-cos^2(x)=0 ?
The general solution for 3sin^2(x)-cos^2(x)=0 is x=(5pi)/6+pin,x= pi/6+pin