What is the general solution for cos(b)= 38/70 ?

The general solution for cos(b)= 38/70 is b=0.99696…+2pin,b=2pi-0.99696…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(b)= 38/70

cos (b) = \frac{38}{70}

b = 0.99696 \dots + 2 πn, b = 2 π - 0.99696 \dots + 2 πn

Solution steps

cos (b) = \frac{38}{70}

Cancel the common factor:

2

cos (b) = \frac{19}{35}

Apply trig inverse properties

b = arccos (\frac{19}{35}) + 2 πn, b = 2 π - arccos (\frac{19}{35}) + 2 πn

Show solutions in decimal form

b = 0.99696 \dots + 2 πn, b = 2 π - 0.99696 \dots + 2 πn

cos (x) = 1 - sin^{2} (\frac{x}{2})

3 sin (x) - 4 sin^{3} (x) = 1 - 2 sin^{2} (x)

sin^{2} (a) = \frac{( 2 tan ( a ) )}{( 1 + tan ^{2} ( a ) )}

\frac{tan ( a )}{2} = \frac{2}{11}

sin^{2} (x) - cos (x) = \frac{1}{2}

What is the general solution for cos(b)= 38/70 ?
The general solution for cos(b)= 38/70 is b=0.99696…+2pin,b=2pi-0.99696…+2pin