What is the general solution for sec(x)=2,cos(x) ?

The general solution for sec(x)=2,cos(x) is No Solution for x\in\mathbb{R}

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sec(x)=2,cos(x)

sec (x) = 2, cos (x)

No Solution for x \in R

Solution steps

sec (x) = 2, cos (x)

General solutions for

sec (x) = 2

sec (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sec (x) 1 \frac{2 3}{3} 22 Undefined - 2 - 2 - \frac{2 3}{3} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sec (x) - 1 - \frac{2 3}{3} - 2 - 2 Undefined 22 \frac{2 3}{3}

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

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

Solutions for the range

cos (x)

No Solution for x \in R

- cosh (sech (x)) (sech (x) tanh (x)) = 0

\frac{sin ( 9 7 ^{\circ} )}{14} = \frac{sin ( b )}{10}

tan (x) = \frac{5 + cos ( x )}{6 sin ( x ) cos ( x )}

cos (x - 1) = \frac{1}{2}, 0^{\circ} \leq x \leq 36 0^{\circ}

cos (t) = \frac{21}{29}

What is the general solution for sec(x)=2,cos(x) ?
The general solution for sec(x)=2,cos(x) is No Solution for x\in\mathbb{R}