What is the general solution for sin(x+20)*csc(70)=1 ?

The general solution for sin(x+20)*csc(70)=1 is x=1.22173…+360n-20,x=180-1.22173…+360n-20

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(x+20)*csc(70)=1

sin (x + 2 0^{\circ}) \cdot csc (7 0^{\circ}) = 1

x = 1.22173 \dots + 36 0^{\circ} n - 2 0^{\circ}, x = 18 0^{\circ} - 1.22173 \dots + 36 0^{\circ} n - 2 0^{\circ}

Solution steps

sin (x + 2 0^{\circ}) csc (7 0^{\circ}) = 1

Divide both sides by

csc (7 0^{\circ})

sin (x + 2 0^{\circ}) = \frac{1}{csc ( 7 0 ^{\circ} )}

Apply trig inverse properties

x + 2 0^{\circ} = arcsin (\frac{1}{csc ( 7 0 ^{\circ} )}) + 36 0^{\circ} n, x + 2 0^{\circ} = 18 0^{\circ} - arcsin (\frac{1}{csc ( 7 0 ^{\circ} )}) + 36 0^{\circ} n

Solve

x + 2 0^{\circ} = arcsin (\frac{1}{csc ( 7 0 ^{\circ} )}) + 36 0^{\circ} n : x = arcsin (\frac{1}{csc ( 7 0 ^{\circ} )}) + 36 0^{\circ} n - 2 0^{\circ}

Solve

x + 2 0^{\circ} = 18 0^{\circ} - arcsin (\frac{1}{csc ( 7 0 ^{\circ} )}) + 36 0^{\circ} n : x = 18 0^{\circ} - arcsin (\frac{1}{csc ( 7 0 ^{\circ} )}) + 36 0^{\circ} n - 2 0^{\circ}

x = arcsin (\frac{1}{csc ( 7 0 ^{\circ} )}) + 36 0^{\circ} n - 2 0^{\circ}, x = 18 0^{\circ} - arcsin (\frac{1}{csc ( 7 0 ^{\circ} )}) + 36 0^{\circ} n - 2 0^{\circ}

Show solutions in decimal form

x = 1.22173 \dots + 36 0^{\circ} n - 2 0^{\circ}, x = 18 0^{\circ} - 1.22173 \dots + 36 0^{\circ} n - 2 0^{\circ}

\frac{π}{2} = \frac{arcsin ( x )}{c}

6 sin^{2} (x) + 16 sin (x) cos (x) - 6 cos^{2} (x) = 0

sec^{2} (t) = 0

x, t = tan (\frac{x}{2})

sin^{2} (x) = 8 cos^{2} (x)

What is the general solution for sin(x+20)*csc(70)=1 ?
The general solution for sin(x+20)*csc(70)=1 is x=1.22173…+360n-20,x=180-1.22173…+360n-20