What is the general solution for sin^2(x)-cos^2(x)=1 ?

The general solution for sin^2(x)-cos^2(x)=1 is x= pi/2+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

x = \frac{π}{2} + πn

Solution steps

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

Rewrite using trig identities

- cos (2 x) = 1

Divide both sides by

- 1

cos (2 x) = - 1

General solutions for

cos (2 x) = - 1

2 x = π + 2 πn

Solve

2 x = π + 2 πn : x = \frac{π}{2} + πn

x = \frac{π}{2} + πn

2 sin (3 θ) = 1

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

3 cos (θ) = 1 + cos (θ)

2 cos (2 θ) - 1 = 0

tan (2 x) + 3 = 0

What is the general solution for sin^2(x)-cos^2(x)=1 ?
The general solution for sin^2(x)-cos^2(x)=1 is x= pi/2+pin