What is the general solution for cos(pi+x)= 1/(sqrt(2)) ?

The general solution for cos(pi+x)= 1/(sqrt(2)) is x= pi/4+2pin-pi,x=(7pi)/4+2pin-pi

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cos(pi+x)= 1/(sqrt(2))

cos (π + x) = \frac{1}{2}

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

Solution steps

cos (π + x) = \frac{1}{2}

Simplify

\frac{1}{2} : \frac{2}{2}

General solutions for

cos (π + x) = \frac{2}{2}

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

Solve

π + x = \frac{π}{4} + 2 πn : x = \frac{π}{4} + 2 πn - π

Solve

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

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

(tan (x) - 4) (16 sin^{2} (x) - 1) = 0

sec^{2} (x) = 2 sin^{2} (x) + tan^{2} (x)

64 cos^{2} (θ) = 49

sin^{2} (x) + 2 cos (x) - 2 = 0

2 sin (x) = sec (x)

What is the general solution for cos(pi+x)= 1/(sqrt(2)) ?
The general solution for cos(pi+x)= 1/(sqrt(2)) is x= pi/4+2pin-pi,x=(7pi)/4+2pin-pi