What is the general solution for cos(x)= 10/50 ?

The general solution for cos(x)= 10/50 is x=1.36943…+2pin,x=2pi-1.36943…+2pin

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cos(x)= 10/50

cos (x) = \frac{10}{50}

x = 1.36943 \dots + 2 πn, x = 2 π - 1.36943 \dots + 2 πn

Degrees

x = 78.46304 \dots^{\circ} + 36 0^{\circ} n, x = 281.53695 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{10}{50}

Cancel the common factor:

10

cos (x) = \frac{1}{5}

Apply trig inverse properties

cos (x) = \frac{1}{5}

General solutions for

cos (x) = \frac{1}{5}

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

x = arccos (\frac{1}{5}) + 2 πn, x = 2 π - arccos (\frac{1}{5}) + 2 πn

x = arccos (\frac{1}{5}) + 2 πn, x = 2 π - arccos (\frac{1}{5}) + 2 πn

Show solutions in decimal form

x = 1.36943 \dots + 2 πn, x = 2 π - 1.36943 \dots + 2 πn

- 7 tan (x) + 3 = - 3 (3 + tan (x))

csc^{2} (x) + 3 cot^{2} (x) = 1

2 sin^{2} (θ) - sin (θ) - 3 = 0

4 sin (x) cos (x) + 1 = 0

4 sin (x) = 3 csc (x)

What is the general solution for cos(x)= 10/50 ?
The general solution for cos(x)= 10/50 is x=1.36943…+2pin,x=2pi-1.36943…+2pin