What is the general solution for sin(b)=(10.21(sin(61.36)))/(11.47) ?

The general solution for sin(b)=(10.21(sin(61.36)))/(11.47) is b=0.89664…+360n,b=180-0.89664…+360n

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(b)=(10.21(sin(61.36)))/(11.47)

sin (b) = \frac{10.21 ( sin ( 61.3 6 ^{\circ} ) )}{11.47}

b = 0.89664 \dots + 36 0^{\circ} n, b = 18 0^{\circ} - 0.89664 \dots + 36 0^{\circ} n

Radians

b = 0.89664 \dots + 2 πn, b = π - 0.89664 \dots + 2 πn

Solution steps

sin (b) = \frac{10.21 ( sin ( 61.3 6 ^{\circ} ) )}{11.47}

Apply trig inverse properties

sin (b) = \frac{10.21 sin ( 61.3 6 ^{\circ} )}{11.47}

General solutions for

sin (b) = \frac{10.21 sin ( 61.3 6 ^{\circ} )}{11.47}

sin (x) = a \Rightarrow x = arcsin (a) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (a) + 36 0^{\circ} n

b = arcsin (\frac{10.21 sin ( 61.3 6 ^{\circ} )}{11.47}) + 36 0^{\circ} n, b = 18 0^{\circ} - arcsin (\frac{10.21 sin ( 61.3 6 ^{\circ} )}{11.47}) + 36 0^{\circ} n

b = arcsin (\frac{10.21 sin ( 61.3 6 ^{\circ} )}{11.47}) + 36 0^{\circ} n, b = 18 0^{\circ} - arcsin (\frac{10.21 sin ( 61.3 6 ^{\circ} )}{11.47}) + 36 0^{\circ} n

Show solutions in decimal form

b = 0.89664 \dots + 36 0^{\circ} n, b = 18 0^{\circ} - 0.89664 \dots + 36 0^{\circ} n

cos (θ) = 0.513

cot (x) = - \frac{24}{7}

sin (θ) = - \frac{2}{3}, 18 0^{\circ} < θ < 27 0^{\circ}

x, R f = e^{c o s (2 x)}

sin (2 θ) = \frac{12}{13}

What is the general solution for sin(b)=(10.21(sin(61.36)))/(11.47) ?
The general solution for sin(b)=(10.21(sin(61.36)))/(11.47) is b=0.89664…+360n,b=180-0.89664…+360n