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Popular >

4cos^2(x)-1=0,0<= x<= 2pi

Solution

4 cos^{2} (x) - 1 = 0, 0 \leq x \leq 2 π

Solution

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

+1

Solution steps

4 cos^{2} (x) - 1 = 0, 0 \leq x \leq 2 π

Solve by substitution

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

cos (x) = \frac{1}{2}, 0 \leq x \leq 2 π : x = \frac{π}{3}, x = \frac{5 π}{3}

cos (x) = - \frac{1}{2}, 0 \leq x \leq 2 π : x = \frac{2 π}{3}, x = \frac{4 π}{3}

Combine all the solutions

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

Popular Examples

cos(2x)+sqrt(3)sin(x)=1

cos (2 x) + 3 sin (x) = 1

tan(2θ)-2cos(θ)=0

tan (2 θ) - 2 cos (θ) = 0

tan(θ)= 12/5 ,pi<θ<(3pi)/2

tan (θ) = \frac{12}{5}, π < θ < \frac{3 π}{2}

sqrt(3)tan(3θ)+1=0,0<= θ<= 2pi

3 tan (3 θ) + 1 = 0, 0 \leq θ \leq 2 π

cos(2x)-sqrt(3)sin(x)=1

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

Frequently Asked Questions (FAQ)

What is the general solution for 4cos^2(x)-1=0,0<= x<= 2pi ?
The general solution for 4cos^2(x)-1=0,0<= x<= 2pi is x= pi/3 ,x=(5pi)/3 ,x=(2pi)/3 ,x=(4pi)/3