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

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

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

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

x = - 1.10714 \dots + πn

Solution steps

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

Switch sides

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

Rewrite using trig identities

2 + tan (x) = 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

2 sin^{3} (x) - sin^{2} (x) - sin (x) = 0

tan (t) + sec (t) = 1

sin (5 x - 10) = cos (x - 8)

sin^{2} (x) + 5 sin (x) = 3

14 + 7 cos (2 x) = 21 cos (x)

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