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

The general solution for -2sin(x)+cos(x)=0 is x=0.46364…+pin

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

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

x = 0.46364 \dots + πn

Solution steps

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

Rewrite using trig identities

- 2 tan (x) + 1 = 0

Move

1

to the right side

- 2 tan (x) = - 1

Divide both sides by

- 2

tan (x) = \frac{1}{2}

Apply trig inverse properties

x = arctan (\frac{1}{2}) + πn

Show solutions in decimal form

x = 0.46364 \dots + πn

3 cos (\frac{2 π t}{3}) + 10 = 11

cos (θ) = \frac{6}{6}, sin (θ)

9 sec^{2} (x) - 9 = 0

4 tan (x) - 7 = 3 tan (x) - 6

- 6 cos (2 θ) + 2 cos (θ) + 2 = 3 cos (θ)

What is the general solution for -2sin(x)+cos(x)=0 ?
The general solution for -2sin(x)+cos(x)=0 is x=0.46364…+pin