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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

x = \frac{π}{2} + 2 πn

Solution steps

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

Subtract

cos^{2} (x) + 1

from both sides

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

Rewrite using trig identities

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

Solve by substitution

sin (x) = 1, sin (x) = - 2

sin (x) = 1 : x = \frac{π}{2} + 2 πn

sin (x) = - 2 :

No Solution

Combine all the solutions

x = \frac{π}{2} + 2 πn

sin (a) = 1.25

(1 + \frac{tan ^{2} ( a )}{1} + cot^{2} (a)) = tan^{2} (a)

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

4 cos^{2} (x) - 11 cos (x) + 7 = 0

3 tan (x) + 2 sec (x) = 1

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