What is the general solution for cos(x)= 2400/3200 ?

The general solution for cos(x)= 2400/3200 is x=0.72273…+2pin,x=2pi-0.72273…+2pin

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cos(x)= 2400/3200

cos (x) = \frac{2400}{3200}

x = 0.72273 \dots + 2 πn, x = 2 π - 0.72273 \dots + 2 πn

Degrees

x = 41.40962 \dots^{\circ} + 36 0^{\circ} n, x = 318.59037 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{2400}{3200}

Cancel the common factor:

800

cos (x) = \frac{3}{4}

Apply trig inverse properties

cos (x) = \frac{3}{4}

General solutions for

cos (x) = \frac{3}{4}

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

x = arccos (\frac{3}{4}) + 2 πn, x = 2 π - arccos (\frac{3}{4}) + 2 πn

x = arccos (\frac{3}{4}) + 2 πn, x = 2 π - arccos (\frac{3}{4}) + 2 πn

Show solutions in decimal form

x = 0.72273 \dots + 2 πn, x = 2 π - 0.72273 \dots + 2 πn

What is the general solution for cos(x)= 2400/3200 ?
The general solution for cos(x)= 2400/3200 is x=0.72273…+2pin,x=2pi-0.72273…+2pin