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

The general solution for sin(x)=4cos(x) is x=1.32581…+pin

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sin(x)=4cos(x)

sin (x) = 4 cos (x)

x = 1.32581 \dots + πn

Solution steps

sin (x) = 4 cos (x)

Rewrite using trig identities

tan (x) = 4

Apply trig inverse properties

x = arctan (4) + πn

Show solutions in decimal form

x = 1.32581 \dots + πn

7 cos (x) = 0

sin (θ) = \frac{3 13}{13}, sec (θ)

sin (y) = \frac{1}{2}

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

sin (x) + cos (x) = 0, - \frac{π}{2} \leq x \leq π

What is the general solution for sin(x)=4cos(x) ?
The general solution for sin(x)=4cos(x) is x=1.32581…+pin