What is the general solution for sec(x)-sqrt(2)=0,0<= x<2pi ?

The general solution for sec(x)-sqrt(2)=0,0<= x<2pi is x= pi/4 ,x=(7pi)/4

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sec(x)-sqrt(2)=0,0<= x<2pi

sec (x) - 2 = 0, 0 \leq x < 2 π

x = \frac{π}{4}, x = \frac{7 π}{4}

Solution steps

sec (x) - 2 = 0, 0 \leq x < 2 π

Move

2

to the right side

sec (x) = 2

General solutions for

sec (x) = 2

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

Solutions for the range

0 \leq x < 2 π

x = \frac{π}{4}, x = \frac{7 π}{4}

cos (x) = \frac{15}{19}

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

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

cos (A) = \frac{8}{17}

sec (θ) = \frac{6}{- 5}, sec (- θ)

What is the general solution for sec(x)-sqrt(2)=0,0<= x<2pi ?
The general solution for sec(x)-sqrt(2)=0,0<= x<2pi is x= pi/4 ,x=(7pi)/4