What is the general solution for 4sqrt(3)cos(t)-4sin(t)=0 ?

The general solution for 4sqrt(3)cos(t)-4sin(t)=0 is t= pi/3+pin

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4sqrt(3)cos(t)-4sin(t)=0

43 cos (t) - 4 sin (t) = 0

t = \frac{π}{3} + πn

Solution steps

43 cos (t) - 4 sin (t) = 0

Rewrite using trig identities

43 - 4 tan (t) = 0

Move

43

to the right side

- 4 tan (t) = - 43

Divide both sides by

- 4

tan (t) = 3

General solutions for

tan (t) = 3

t = \frac{π}{3} + πn

csc (θ) = - \frac{5}{2}

\frac{3}{3} = tan (θ)

x, tan (x) + 3 = 0

cos (x) = \frac{4.1}{7.9}

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

What is the general solution for 4sqrt(3)cos(t)-4sin(t)=0 ?
The general solution for 4sqrt(3)cos(t)-4sin(t)=0 is t= pi/3+pin