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Popular >

2-sec^2(x)=0

Solution

2 - sec^{2} (x) = 0

Solution

x = \frac{π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn, x = \frac{3 π}{4} + 2 πn, x = \frac{5 π}{4} + 2 πn

+1

Solution steps

2 - sec^{2} (x) = 0

Solve by substitution

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

sec (x) = 2 : x = \frac{π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

sec (x) = - 2 : x = \frac{3 π}{4} + 2 πn, x = \frac{5 π}{4} + 2 πn

Combine all the solutions

x = \frac{π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn, x = \frac{3 π}{4} + 2 πn, x = \frac{5 π}{4} + 2 πn

Popular Examples

4sin(θ)-2sqrt(2)=0

4 sin (θ) - 22 = 0

sec(θ)= 2/(sqrt(3))

sec (θ) = \frac{2}{3}

3cos(2θ)-5sin(θ)-9=-5

3 cos (2 θ) - 5 sin (θ) - 9 = - 5

tan(x)=1,0<= x<= 2pi

tan (x) = 1, 0 \leq x \leq 2 π

csc(θ)=-2,pi<θ<3pi^2th(θ,t)en,cot(θ)

csc (θ) = - 2, π < θ < 3 π^{2} t h (θ, t) e n, cot (θ)

Frequently Asked Questions (FAQ)

What is the general solution for 2-sec^2(x)=0 ?
The general solution for 2-sec^2(x)=0 is x= pi/4+2pin,x=(7pi)/4+2pin,x=(3pi)/4+2pin,x=(5pi)/4+2pin