What is the general solution for cos(x)=-0.25 ?

The general solution for cos(x)=-0.25 is x=1.82347…+2pin,x=-1.82347…+2pin

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cos(x)=-0.25

cos (x) = - 0.25

x = 1.82347 \dots + 2 πn, x = - 1.82347 \dots + 2 πn

Degrees

x = 104.47751 \dots^{\circ} + 36 0^{\circ} n, x = - 104.47751 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = - 0.25

Apply trig inverse properties

cos (x) = - 0.25

General solutions for

cos (x) = - 0.25

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

x = arccos (- 0.25) + 2 πn, x = - arccos (- 0.25) + 2 πn

x = arccos (- 0.25) + 2 πn, x = - arccos (- 0.25) + 2 πn

Show solutions in decimal form

x = 1.82347 \dots + 2 πn, x = - 1.82347 \dots + 2 πn

1 + sin^{2} (x) = cos^{2} (x)

7 tan (θ) sin (θ) - 6 tan (θ) = 0

2 sin^{2} (x) - 7 cos (x) + 2 = 0

5 cos (θ) = 0

sin (2 θ) = 4 cos (θ)

What is the general solution for cos(x)=-0.25 ?
The general solution for cos(x)=-0.25 is x=1.82347…+2pin,x=-1.82347…+2pin