What is the general solution for cos(x)=-0.45 ?

The general solution for cos(x)=-0.45 is x=2.03756…+2pin,x=-2.03756…+2pin

cos(x)=-0.45

cos (x) = - 0.45

x = 2.03756 \dots + 2 πn, x = - 2.03756 \dots + 2 πn

Degrees

x = 116.74368 \dots^{\circ} + 36 0^{\circ} n, x = - 116.74368 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = - 0.45

Apply trig inverse properties

cos (x) = - 0.45

General solutions for

cos (x) = - 0.45

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

x = arccos (- 0.45) + 2 πn, x = - arccos (- 0.45) + 2 πn

x = arccos (- 0.45) + 2 πn, x = - arccos (- 0.45) + 2 πn

Show solutions in decimal form

x = 2.03756 \dots + 2 πn, x = - 2.03756 \dots + 2 πn

sin (4 x) cos (x) - sin (x) cos (4 x) = - \frac{1}{2}

4 tan (θ) - 1 = 0

8 sin (x) = cos (x) - 6

27 sin (t) cos (t) = - 3 sin (t)

sin (5 x) - sin (x) + 3 cos (3 x) = 0

What is the general solution for cos(x)=-0.45 ?
The general solution for cos(x)=-0.45 is x=2.03756…+2pin,x=-2.03756…+2pin