What is the general solution for cos(x)=(290)/(346.7) ?

The general solution for cos(x)=(290)/(346.7) is x=0.58000…+2pin,x=2pi-0.58000…+2pin

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cos(x)=(290)/(346.7)

cos (x) = \frac{290}{346.7}

x = 0.58000 \dots + 2 πn, x = 2 π - 0.58000 \dots + 2 πn

Degrees

x = 33.23203 \dots^{\circ} + 36 0^{\circ} n, x = 326.76796 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{290}{346.7}

Apply trig inverse properties

cos (x) = \frac{290}{346.7}

General solutions for

cos (x) = \frac{290}{346.7}

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

x = arccos (\frac{290}{346.7}) + 2 πn, x = 2 π - arccos (\frac{290}{346.7}) + 2 πn

x = arccos (\frac{290}{346.7}) + 2 πn, x = 2 π - arccos (\frac{290}{346.7}) + 2 πn

Show solutions in decimal form

x = 0.58000 \dots + 2 πn, x = 2 π - 0.58000 \dots + 2 πn

tan (x) = \frac{19}{11}

cot (x) = cot (3 x - 5 0^{\circ}), 0 < x < 18 0^{\circ}

tan (2 θ) = \frac{4}{3}

3 sec^{2} (x) + 2 - 8 tan (x) = 0

cos (θ) - 1 = cos (2 θ)

What is the general solution for cos(x)=(290)/(346.7) ?
The general solution for cos(x)=(290)/(346.7) is x=0.58000…+2pin,x=2pi-0.58000…+2pin