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

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cos(b)= 38/70

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

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

Degrees

b = 57.12165 \dots^{\circ} + 36 0^{\circ} n, b = 302.87834 \dots^{\circ} + 36 0^{\circ} n

Solution steps

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

Cancel the common factor:

2

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

Apply trig inverse properties

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

General solutions for

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

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

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

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