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

The general solution for 5sin(x)+3cos(x)=0 is x=-0.54041…+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

x = - 0.54041 \dots + πn

Solution steps

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

Rewrite using trig identities

5 tan (x) + 3 = 0

Move

3

to the right side

5 tan (x) = - 3

Divide both sides by

5

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

Apply trig inverse properties

x = arctan (- \frac{3}{5}) + πn

Show solutions in decimal form

x = - 0.54041 \dots + πn

3 cos (x) csc (x) = 2 cos (x)

sin (2 x) = - \frac{2}{2}

sin (x) = 0, 0 \leq x < 2 π

sec^{2} (x) = (3 + 1) tan (x) - 3 + 1

sin (z) = 100

What is the general solution for 5sin(x)+3cos(x)=0 ?
The general solution for 5sin(x)+3cos(x)=0 is x=-0.54041…+pin