What is the general solution for (35)/(sin(A))=(60)/(sin(25)) ?

The general solution for (35)/(sin(A))=(60)/(sin(25)) is A=0.24909…+360n,A=180-0.24909…+360n

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(35)/(sin(A))=(60)/(sin(25))

\frac{35}{sin ( A )} = \frac{60}{sin ( 2 5 ^{\circ} )}

A = 0.24909 \dots + 36 0^{\circ} n, A = 18 0^{\circ} - 0.24909 \dots + 36 0^{\circ} n

Solution steps

\frac{35}{sin ( A )} = \frac{60}{sin ( 2 5 ^{\circ} )}

Cross multiply

35 sin (2 5^{\circ}) = sin (A) \cdot 60

Switch sides

sin (A) \cdot 60 = 35 sin (2 5^{\circ})

Divide both sides by

60

sin (A) = \frac{7 sin ( 2 5 ^{\circ} )}{12}

Verify Solutions

Find undefined (singularity) points:

sin (A) = 0

Combine undefined points with solutions:

sin (A) = \frac{7 sin ( 2 5 ^{\circ} )}{12}

Apply trig inverse properties

A = arcsin (\frac{7 sin ( 2 5 ^{\circ} )}{12}) + 36 0^{\circ} n, A = 18 0^{\circ} - arcsin (\frac{7 sin ( 2 5 ^{\circ} )}{12}) + 36 0^{\circ} n

Show solutions in decimal form

A = 0.24909 \dots + 36 0^{\circ} n, A = 18 0^{\circ} - 0.24909 \dots + 36 0^{\circ} n

4 csc (x) + sin (x) + 5 = 0

tan (x) = 1087

- 3 sin (3 x) = 1

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

cos (θ) = \frac{3}{5} (270360)

What is the general solution for (35)/(sin(A))=(60)/(sin(25)) ?
The general solution for (35)/(sin(A))=(60)/(sin(25)) is A=0.24909…+360n,A=180-0.24909…+360n