What is the general solution for cos(x)= 84/98 ?

The general solution for cos(x)= 84/98 is x=0.54109…+2pin,x=2pi-0.54109…+2pin

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cos(x)= 84/98

cos (x) = \frac{84}{98}

x = 0.54109 \dots + 2 πn, x = 2 π - 0.54109 \dots + 2 πn

Degrees

x = 31.00271 \dots^{\circ} + 36 0^{\circ} n, x = 328.99728 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{84}{98}

Cancel the common factor:

14

cos (x) = \frac{6}{7}

Apply trig inverse properties

cos (x) = \frac{6}{7}

General solutions for

cos (x) = \frac{6}{7}

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

x = arccos (\frac{6}{7}) + 2 πn, x = 2 π - arccos (\frac{6}{7}) + 2 πn

x = arccos (\frac{6}{7}) + 2 πn, x = 2 π - arccos (\frac{6}{7}) + 2 πn

Show solutions in decimal form

x = 0.54109 \dots + 2 πn, x = 2 π - 0.54109 \dots + 2 πn

What is the general solution for cos(x)= 84/98 ?
The general solution for cos(x)= 84/98 is x=0.54109…+2pin,x=2pi-0.54109…+2pin