What is the general solution for (sin(55.01-x))/(sin(x))= 1200/500 ?

The general solution for (sin(55.01-x))/(sin(x))= 1200/500 is x=2.75168…+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(sin(55.01-x))/(sin(x))= 1200/500

\frac{sin ( 55.01 - x )}{sin ( x )} = \frac{1200}{500}

x = 2.75168 \dots + πn

Solution steps

\frac{sin ( 55.01 - x )}{sin ( x )} = \frac{1200}{500}

Rewrite using trig identities

\frac{- 0.99948 \dots cos ( x ) - 0.03212 \dots sin ( x )}{sin ( x )} = \frac{12}{5}

Subtract

\frac{12}{5}

from both sides

\frac{- 0.99948 \dots cos ( x ) - 0.03212 \dots sin ( x )}{sin ( x )} - 2.4 = 0

Rewrite using trig identities

- 2.43212 \dots - 0.99948 \dots cot (x) = 0

Move

2.43212 \dots

to the right side

- 0.99948 \dots cot (x) = 2.43212 \dots

Divide both sides by

- 0.99948 \dots

cot (x) = - 2.43337 \dots

Apply trig inverse properties

x = arccot (- 2.43337 \dots) + πn

Show solutions in decimal form

x = 2.75168 \dots + πn

csc (θ) = 0.77

x, - cos (y) = sin (x)

3 cos^{2} (θ) - 10 = 0

\frac{sin ( x ) + cos ( x )}{sin ( x )} = 1 \frac{1}{tan ( x )}

arctan (x) = \frac{- π}{2}

What is the general solution for (sin(55.01-x))/(sin(x))= 1200/500 ?
The general solution for (sin(55.01-x))/(sin(x))= 1200/500 is x=2.75168…+pin