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

The general solution for 4cos(x)+3sin(x)=0 is x=-0.92729…+pin

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

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

x = - 0.92729 \dots + πn

Solution steps

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

Rewrite using trig identities

4 + 3 tan (x) = 0

Move

4

to the right side

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

2 sin (4 x) - 1 = 0, 0 < x \leq 2

5 cos (θ) = - 5 sin (- θ)

cos (x) - 2 sin (x) cos (x) = 0, 0 \leq x \leq 2 π

sec^{2} (x) + 6 tan (x) = 8

tan (θ) = - \frac{3}{8}

What is the general solution for 4cos(x)+3sin(x)=0 ?
The general solution for 4cos(x)+3sin(x)=0 is x=-0.92729…+pin