What is the general solution for cos(x+(3pi)/2)+2sin(x+pi)=0 ?

The general solution for cos(x+(3pi)/2)+2sin(x+pi)=0 is x=2pin,x=pi+2pin

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cos(x+(3pi)/2)+2sin(x+pi)=0

cos (x + \frac{3 π}{2}) + 2 sin (x + π) = 0

x = 2 πn, x = π + 2 πn

Solution steps

cos (x + \frac{3 π}{2}) + 2 sin (x + π) = 0

Rewrite using trig identities

- sin (x) = 0

Divide both sides by

- 1

sin (x) = 0

General solutions for

sin (x) = 0

x = 0 + 2 πn, x = π + 2 πn

Solve

x = 0 + 2 πn : x = 2 πn

x = 2 πn, x = π + 2 πn

3 + 6 sin (3 x) = 0

cos (x) cos (2 x) - sin (x) sin (2 x) = 0

θ, x = 5 tan (θ)

cos (x) tan (x) cos (x) = 0, 0 \leq x \leq 2 π

3 sin (x) + 5 cos (x) + 5 = 0

What is the general solution for cos(x+(3pi)/2)+2sin(x+pi)=0 ?
The general solution for cos(x+(3pi)/2)+2sin(x+pi)=0 is x=2pin,x=pi+2pin