en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

x = \frac{π}{2} + 2 πn, x = 2 πn, x = π + 2 πn

+1

Solution steps

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

Subtract

cos^{2} (x)

from both sides

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

Rewrite using trig identities

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

Solve by substitution

sin (x) = 1, sin (x) = 0

sin (x) = 1 : x = \frac{π}{2} + 2 πn

sin (x) = 0 : x = 2 πn, x = π + 2 πn

Combine all the solutions

x = \frac{π}{2} + 2 πn, x = 2 πn, x = π + 2 πn

Popular Examples

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

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

2sin(v)csc(v)-csc(v)=4sin(v)-2

2 sin (v) csc (v) - csc (v) = 4 sin (v) - 2

2cos(2x)=4cos(x)

2 cos (2 x) = 4 cos (x)

(sin(42))/(22)=(sin(B))/(12)

\frac{sin ( 4 2 ^{\circ} )}{22} = \frac{sin ( B )}{12}

sin (θ) = \frac{16}{14}

Frequently Asked Questions (FAQ)

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