What is the general solution for 3sin(x)-5cos(x)=0 ?

The general solution for 3sin(x)-5cos(x)=0 is x=1.03037…+pin

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

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

x = 1.03037 \dots + πn

Solution steps

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

Rewrite using trig identities

3 tan (x) - 5 = 0

Move

5

to the right side

3 tan (x) = 5

Divide both sides by

3

tan (x) = \frac{5}{3}

Apply trig inverse properties

x = arctan (\frac{5}{3}) + πn

Show solutions in decimal form

x = 1.03037 \dots + πn

sin^{2} (x) = 0.85

cos (x - 6 0^{\circ}) = \frac{3}{2}

(0.5 \cdot 9.8 \cdot l (1 - cos (θ))) = 0.018

x, 0 = - sin (2 x) - 2 cos (x)

sec (θ) = \frac{5}{2}

What is the general solution for 3sin(x)-5cos(x)=0 ?
The general solution for 3sin(x)-5cos(x)=0 is x=1.03037…+pin