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

The general solution for -4sin(x)+3cos(x)=0 is x=0.64350…+pin

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-4sin(x)+3cos(x)=0

- 4 sin (x) + 3 cos (x) = 0

x = 0.64350 \dots + πn

Solution steps

- 4 sin (x) + 3 cos (x) = 0

Rewrite using trig identities

- 4 tan (x) + 3 = 0

Move

3

to the right side

- 4 tan (x) = - 3

Divide both sides by

- 4

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

Apply trig inverse properties

x = arctan (\frac{3}{4}) + πn

Show solutions in decimal form

x = 0.64350 \dots + πn

sin (x) - 1 = 0, sin (x) - 1 = 0

23 cos (2 x) = - 3

3 cos (x) + sin (x) = 1

cos^{2} (x) = \frac{2 + 3}{4}

e^{c o s (x)} sin^{2} (x) - e^{c o s (x)} cos (x) = 0

What is the general solution for -4sin(x)+3cos(x)=0 ?
The general solution for -4sin(x)+3cos(x)=0 is x=0.64350…+pin