What is the general solution for sin(x+5pi)=0 ?

The general solution for sin(x+5pi)=0 is x=2pin-5pi,x=-4pi+2pin

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sin(x+5pi)=0

sin (x + 5 π) = 0

x = 2 πn - 5 π, x = - 4 π + 2 πn

Solution steps

sin (x + 5 π) = 0

General solutions for

sin (x + 5 π) = 0

x + 5 π = 0 + 2 πn, x + 5 π = π + 2 πn

Solve

x + 5 π = 0 + 2 πn : x = 2 πn - 5 π

Solve

x + 5 π = π + 2 πn : x = - 4 π + 2 πn

x = 2 πn - 5 π, x = - 4 π + 2 πn

cos (2 x) + 9 cos (x) + 5 = 0

25 = - 20 cos (\frac{2 π}{365} (x + 10)) + 25

sin (x) - cos (x) - \frac{1}{2} = 0

cos^{2} (θ) = \frac{49}{64}

sec^{2} (θ) = 1 - tan (θ)

What is the general solution for sin(x+5pi)=0 ?
The general solution for sin(x+5pi)=0 is x=2pin-5pi,x=-4pi+2pin