What is the general solution for cos(x)+0.65=0 ?

The general solution for cos(x)+0.65=0 is x=2.27838…+2pin,x=-2.27838…+2pin

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cos(x)+0.65=0

cos (x) + 0.65 = 0

x = 2.27838 \dots + 2 πn, x = - 2.27838 \dots + 2 πn

Degrees

x = 130.54160 \dots^{\circ} + 36 0^{\circ} n, x = - 130.54160 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) + 0.65 = 0

Move

0.65

to the right side

cos (x) + 0.65 = 0

Subtract

0.65

from both sides

cos (x) + 0.65 - 0.65 = 0 - 0.65

Simplify

cos (x) = - 0.65

cos (x) = - 0.65

Apply trig inverse properties

cos (x) = - 0.65

General solutions for

cos (x) = - 0.65

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

x = arccos (- 0.65) + 2 πn, x = - arccos (- 0.65) + 2 πn

x = arccos (- 0.65) + 2 πn, x = - arccos (- 0.65) + 2 πn

Show solutions in decimal form

x = 2.27838 \dots + 2 πn, x = - 2.27838 \dots + 2 πn

sin^{2} (x) = 0.12

6 cos (x) = - 32

cos (x) = \frac{7}{12}

5 tan (x) + 3 = 4 (1 + tan (x))

cos (x) + 2 = 3

What is the general solution for cos(x)+0.65=0 ?
The general solution for cos(x)+0.65=0 is x=2.27838…+2pin,x=-2.27838…+2pin