What is the general solution for sin^2(x)+2cos(x)=2 ?

The general solution for sin^2(x)+2cos(x)=2 is x=2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

x = 2 πn

Solution steps

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

Subtract

2

from both sides

sin^{2} (x) + 2 cos (x) - 2 = 0

Rewrite using trig identities

- 1 - cos^{2} (x) + 2 cos (x) = 0

Solve by substitution

cos (x) = 1

cos (x) = 1 : x = 2 πn

Combine all the solutions

x = 2 πn

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

tan (x) = 2 sin (x)

cos (2 x) + 3 cos (x) + 2 = 0

tan (θ) + 1 = sec (θ)

2 sin (θ) = 2

What is the general solution for sin^2(x)+2cos(x)=2 ?
The general solution for sin^2(x)+2cos(x)=2 is x=2pin