What is the general solution for cos(x)=(451.1)/(497) ?

The general solution for cos(x)=(451.1)/(497) is x=0.43315…+2pin,x=2pi-0.43315…+2pin

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cos(x)=(451.1)/(497)

cos (x) = \frac{451.1}{497}

x = 0.43315 \dots + 2 πn, x = 2 π - 0.43315 \dots + 2 πn

Degrees

x = 24.81797 \dots^{\circ} + 36 0^{\circ} n, x = 335.18202 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{451.1}{497}

Apply trig inverse properties

cos (x) = \frac{451.1}{497}

General solutions for

cos (x) = \frac{451.1}{497}

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

x = arccos (\frac{451.1}{497}) + 2 πn, x = 2 π - arccos (\frac{451.1}{497}) + 2 πn

x = arccos (\frac{451.1}{497}) + 2 πn, x = 2 π - arccos (\frac{451.1}{497}) + 2 πn

Show solutions in decimal form

x = 0.43315 \dots + 2 πn, x = 2 π - 0.43315 \dots + 2 πn

tan^{2} (x) = 2 sec (x)

- sin^{2} (x) = sin^{4} (x)

3 cos^{2} (x) = sin (2 x) \cdot sin (x)

sin^{2} (θ) - cos^{2} (θ) = cos (θ)

csc (t) = 2

What is the general solution for cos(x)=(451.1)/(497) ?
The general solution for cos(x)=(451.1)/(497) is x=0.43315…+2pin,x=2pi-0.43315…+2pin