What is the general solution for cos(φ)=sqrt(3)sin(φ) ?

The general solution for cos(φ)=sqrt(3)sin(φ) is φ= pi/6+pin

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cos(φ)=sqrt(3)sin(φ)

cos (φ) = 3 sin (φ)

φ = \frac{π}{6} + πn

Solution steps

cos (φ) = 3 sin (φ)

Rewrite using trig identities

3 tan (φ) = 1

Divide both sides by

3

tan (φ) = \frac{3}{3}

General solutions for

tan (φ) = \frac{3}{3}

φ = \frac{π}{6} + πn

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

\frac{tan ^{2} ( x )}{sec ( x ) + 1} = tan (x)

2 cos^{2} (x) + cos (x) = 1, 0 \leq x < 2 π

sin (β) = - 0, 8 (θ \in β v c) s = sec (β) - tan (β)

cos (\frac{2 x - π}{17}) = 0

What is the general solution for cos(φ)=sqrt(3)sin(φ) ?
The general solution for cos(φ)=sqrt(3)sin(φ) is φ= pi/6+pin