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

The general solution for sin(x)+2cos(x)=0 is x=-1.10714…+pin

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

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

x = - 1.10714 \dots + πn

Solution steps

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

Rewrite using trig identities

tan (x) + 2 = 0

Move

2

to the right side

tan (x) = - 2

Apply trig inverse properties

x = arctan (- 2) + πn

Show solutions in decimal form

x = - 1.10714 \dots + πn

sec^{2} (x) + csc^{2} (x) = 1

sin (x) = 0.653

- 50 cos (x) - 86.6025400000000 \dots sin (x) = - 50

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

4 cos^{2} (x) + 8 cos (x) + 4 = 0

What is the general solution for sin(x)+2cos(x)=0 ?
The general solution for sin(x)+2cos(x)=0 is x=-1.10714…+pin