What is the general solution for cos(2x)= 8/17 ?

The general solution for cos(2x)= 8/17 is x=(1.08083…)/2+pin,x=pi-(1.08083…)/2+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(2x)= 8/17

cos (2 x) = \frac{8}{17}

x = \frac{1.08083 \dots}{2} + πn, x = π - \frac{1.08083 \dots}{2} + πn

Solution steps

cos (2 x) = \frac{8}{17}

Apply trig inverse properties

2 x = arccos (\frac{8}{17}) + 2 πn, 2 x = 2 π - arccos (\frac{8}{17}) + 2 πn

Solve

2 x = arccos (\frac{8}{17}) + 2 πn : x = \frac{arccos ( \frac{8}{17} )}{2} + πn

Solve

2 x = 2 π - arccos (\frac{8}{17}) + 2 πn : x = π - \frac{arccos ( \frac{8}{17} )}{2} + πn

x = \frac{arccos ( \frac{8}{17} )}{2} + πn, x = π - \frac{arccos ( \frac{8}{17} )}{2} + πn

Show solutions in decimal form

x = \frac{1.08083 \dots}{2} + πn, x = π - \frac{1.08083 \dots}{2} + πn

tan (x) (csc (x) + 2) = 0

4 cos^{2} (x) = 5 + 4 sin (x), 0 \leq x \leq 2 π

sin (π + θ) = sin (θ)

0 = 2 cos (x) + sin (x)

2 sin^{3} (x) - sin^{2} (x) - sin (x) = 0

What is the general solution for cos(2x)= 8/17 ?
The general solution for cos(2x)= 8/17 is x=(1.08083…)/2+pin,x=pi-(1.08083…)/2+pin