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Popular >

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

Solution

sec^{2} (x) - 4 = 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}

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Solution steps

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

Solve by substitution

sec (x) = 2, sec (x) = - 2

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

sec (x) = - 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

tan^2(x)+7tan(x)+9=0

tan^{2} (x) + 7 tan (x) + 9 = 0

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4 cos (x) = sec (x) + 3, 0 \leq x < 2 π

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x, - \frac{1}{2 y ^{2}} = 3 sin (x) - \frac{1}{8}

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sin (θ) = \frac{150 sin ( 11 5 ^{\circ} )}{212.6}

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Frequently Asked Questions (FAQ)

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