What is the general solution for cos(x)=-0.35 ?

The general solution for cos(x)=-0.35 is x=1.92836…+2pin,x=-1.92836…+2pin

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cos(x)=-0.35

cos (x) = - 0.35

x = 1.92836 \dots + 2 πn, x = - 1.92836 \dots + 2 πn

Degrees

x = 110.48731 \dots^{\circ} + 36 0^{\circ} n, x = - 110.48731 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = - 0.35

Apply trig inverse properties

cos (x) = - 0.35

General solutions for

cos (x) = - 0.35

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

x = arccos (- 0.35) + 2 πn, x = - arccos (- 0.35) + 2 πn

x = arccos (- 0.35) + 2 πn, x = - arccos (- 0.35) + 2 πn

Show solutions in decimal form

x = 1.92836 \dots + 2 πn, x = - 1.92836 \dots + 2 πn

cos (x) = - 0.25

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

What is the general solution for cos(x)=-0.35 ?
The general solution for cos(x)=-0.35 is x=1.92836…+2pin,x=-1.92836…+2pin