What is the general solution for cos(A)= 6/(7*21) ?

The general solution for cos(A)= 6/(7*21) is A=1.52996…+2pin,A=2pi-1.52996…+2pin

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cos(A)= 6/(7*21)

cos (A) = \frac{6}{7 \cdot 21}

A = 1.52996 \dots + 2 πn, A = 2 π - 1.52996 \dots + 2 πn

Radians

A = 1.52996 \dots + 6.28318 \dots n, A = 4.75321 \dots + 6.28318 \dots n

Solution steps

cos (A) = \frac{6}{7 \cdot 21}

Simplify

\frac{6}{7 \cdot 21} : \frac{2}{49}

\frac{6}{7 \cdot 21}

Multiply the numbers:

7 \cdot 21 = 147

= \frac{6}{147}

Cancel the common factor:

3

= \frac{2}{49}

Apply trig inverse properties

cos (A) = \frac{2}{49}

General solutions for

cos (A) = \frac{2}{49}

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

A = arccos (\frac{2}{49}) + 2 πn, A = 2 π - arccos (\frac{2}{49}) + 2 πn

A = arccos (\frac{2}{49}) + 2 πn, A = 2 π - arccos (\frac{2}{49}) + 2 πn

Show solutions in decimal form

A = 1.52996 \dots + 2 πn, A = 2 π - 1.52996 \dots + 2 πn

2 = 4 cos (3 x + 1)

tan (x) = \frac{13}{6}

3 sinh (2 x) = 5

sin (\frac{x}{25.4}) = 35

\frac{2}{3} = \frac{sin ( x )}{sin ( 13 5 ^{\circ} )}

What is the general solution for cos(A)= 6/(7*21) ?
The general solution for cos(A)= 6/(7*21) is A=1.52996…+2pin,A=2pi-1.52996…+2pin