What is the general solution for cos(x)=-0.4 ?

The general solution for cos(x)=-0.4 is x=1.98231…+2pin,x=-1.98231…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(x)=-0.4

cos (x) = - 0.4

x = 1.98231 \dots + 2 πn, x = - 1.98231 \dots + 2 πn

Degrees

x = 113.57817 \dots^{\circ} + 36 0^{\circ} n, x = - 113.57817 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = - 0.4

Apply trig inverse properties

cos (x) = - 0.4

General solutions for

cos (x) = - 0.4

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

x = arccos (- 0.4) + 2 πn, x = - arccos (- 0.4) + 2 πn

x = arccos (- 0.4) + 2 πn, x = - arccos (- 0.4) + 2 πn

Show solutions in decimal form

x = 1.98231 \dots + 2 πn, x = - 1.98231 \dots + 2 πn

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

2 cos^{2} (θ) - cos (θ) = 1

sec^{2} (θ) - 4 = 0, 0 \leq θ \leq 2 π

- sin (\frac{π}{2})

tan (\frac{5 π}{12})

What is the general solution for cos(x)=-0.4 ?
The general solution for cos(x)=-0.4 is x=1.98231…+2pin,x=-1.98231…+2pin