What is the general solution for cos(φ)= 1/4 ?

The general solution for cos(φ)= 1/4 is φ=1.31811…+2pin,φ=2pi-1.31811…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(φ)= 1/4

cos (φ) = \frac{1}{4}

φ = 1.31811 \dots + 2 πn, φ = 2 π - 1.31811 \dots + 2 πn

Degrees

φ = 75.52248 \dots^{\circ} + 36 0^{\circ} n, φ = 284.47751 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (φ) = \frac{1}{4}

Apply trig inverse properties

cos (φ) = \frac{1}{4}

General solutions for

cos (φ) = \frac{1}{4}

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

φ = arccos (\frac{1}{4}) + 2 πn, φ = 2 π - arccos (\frac{1}{4}) + 2 πn

φ = arccos (\frac{1}{4}) + 2 πn, φ = 2 π - arccos (\frac{1}{4}) + 2 πn

Show solutions in decimal form

φ = 1.31811 \dots + 2 πn, φ = 2 π - 1.31811 \dots + 2 πn

- 2 cos (x) = sin (x)

sin (x) = - 0.9781

tan (x) = 3.73

tan (θ) = - \frac{2}{5}, sin (θ) > 0

sin (4 θ) = \frac{3}{2}, 0 \leq θ < 2 π

What is the general solution for cos(φ)= 1/4 ?
The general solution for cos(φ)= 1/4 is φ=1.31811…+2pin,φ=2pi-1.31811…+2pin