What is the general solution for cos(x)=(86.6)/(100) ?

The general solution for cos(x)=(86.6)/(100) is x=0.52364…+2pin,x=2pi-0.52364…+2pin

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cos(x)=(86.6)/(100)

cos (x) = \frac{86.6}{100}

x = 0.52364 \dots + 2 πn, x = 2 π - 0.52364 \dots + 2 πn

Degrees

x = 30.00291 \dots^{\circ} + 36 0^{\circ} n, x = 329.99708 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{86.6}{100}

Apply trig inverse properties

cos (x) = \frac{86.6}{100}

General solutions for

cos (x) = \frac{86.6}{100}

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

x = arccos (\frac{86.6}{100}) + 2 πn, x = 2 π - arccos (\frac{86.6}{100}) + 2 πn

x = arccos (\frac{86.6}{100}) + 2 πn, x = 2 π - arccos (\frac{86.6}{100}) + 2 πn

Show solutions in decimal form

x = 0.52364 \dots + 2 πn, x = 2 π - 0.52364 \dots + 2 πn

- 2 cos^{2} (θ) - 8 cos (θ) - 1 = - 5 cos (θ)

- 6 sin (θ) = - 33

2 sin (2 x) + cos (x) = 0

sin (d) = 0.81

sec (\frac{5 x}{4}) = 2

What is the general solution for cos(x)=(86.6)/(100) ?
The general solution for cos(x)=(86.6)/(100) is x=0.52364…+2pin,x=2pi-0.52364…+2pin