What is the general solution for 4cos(x)=3sin(x) ?

The general solution for 4cos(x)=3sin(x) is x=0.92729…+pin

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4cos(x)=3sin(x)

4 cos (x) = 3 sin (x)

x = 0.92729 \dots + πn

Solution steps

4 cos (x) = 3 sin (x)

Rewrite using trig identities

3 tan (x) = 4

Divide both sides by

3

tan (x) = \frac{4}{3}

Apply trig inverse properties

x = arctan (\frac{4}{3}) + πn

Show solutions in decimal form

x = 0.92729 \dots + πn

cos (π x) = 0, 0 \leq x \leq 2 π

cos (2 x - 1 5^{\circ}) = - sin (6 0^{\circ} - 3 x)

4 sin^{2} (x) - cos (x) - 1 = 0

tan (\frac{θ}{2} - \frac{π}{4}) = 1, 0 \leq θ < 2 π

1 + cos^{2} (x^{2} + 1) = sin^{2} (x^{2} + 1)

What is the general solution for 4cos(x)=3sin(x) ?
The general solution for 4cos(x)=3sin(x) is x=0.92729…+pin