What is the general solution for 4sin(x)=-2cos(x) ?

The general solution for 4sin(x)=-2cos(x) is x=-0.46364…+pin

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4sin(x)=-2cos(x)

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

x = - 0.46364 \dots + πn

Solution steps

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

Rewrite using trig identities

4 tan (x) = - 2

Divide both sides by

4

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 sin (2 x) = 1.5

sin (2 x - 5 0^{\circ}) = - \frac{1}{2}

x, cos (x) = \frac{4}{5}

cos (x) = cos (3 \cdot x) + 2 \cdot sin (2 \cdot x)

- 2 sin (x) + 3 cos (x) = 0

What is the general solution for 4sin(x)=-2cos(x) ?
The general solution for 4sin(x)=-2cos(x) is x=-0.46364…+pin