What is the general solution for cos(x)=-0.8 ?

The general solution for cos(x)=-0.8 is x=2.49809…+2pin,x=-2.49809…+2pin

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cos(x)=-0.8

cos (x) = - 0.8

x = 2.49809 \dots + 2 πn, x = - 2.49809 \dots + 2 πn

Degrees

x = 143.13010 \dots^{\circ} + 36 0^{\circ} n, x = - 143.13010 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = - 0.8

Apply trig inverse properties

cos (x) = - 0.8

General solutions for

cos (x) = - 0.8

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

x = arccos (- 0.8) + 2 πn, x = - arccos (- 0.8) + 2 πn

x = arccos (- 0.8) + 2 πn, x = - arccos (- 0.8) + 2 πn

Show solutions in decimal form

x = 2.49809 \dots + 2 πn, x = - 2.49809 \dots + 2 πn

8 sin (x) cos (x) - 3 cos (x) = 0

sin (x) + 2 = 3, 0^{\circ} < x < 36 0^{\circ}

cos (\frac{2 x}{3}) = 0

sin (2 x) - 1 = cos (2 x)

- 2 sin (t) + 2 cos (2 t) = 0

What is the general solution for cos(x)=-0.8 ?
The general solution for cos(x)=-0.8 is x=2.49809…+2pin,x=-2.49809…+2pin