sin^2x-cos^2x=1+cosx

Simple and best practice solution for sin^2x-cos^2x=1+cosx equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for sin^2x-cos^2x=1+cosx equation:


Simplifying
sin2x + -1cos2x = 1 + cosx

Reorder the terms:
-1cos2x + in2sx = 1 + cosx

Solving
-1cos2x + in2sx = 1 + cosx

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-1cosx' to each side of the equation.
-1cos2x + -1cosx + in2sx = 1 + cosx + -1cosx

Reorder the terms:
-1cosx + -1cos2x + in2sx = 1 + cosx + -1cosx

Combine like terms: cosx + -1cosx = 0
-1cosx + -1cos2x + in2sx = 1 + 0
-1cosx + -1cos2x + in2sx = 1

Add '-1in2sx' to each side of the equation.
-1cosx + -1cos2x + in2sx + -1in2sx = 1 + -1in2sx

Combine like terms: in2sx + -1in2sx = 0
-1cosx + -1cos2x + 0 = 1 + -1in2sx
-1cosx + -1cos2x = 1 + -1in2sx

Reorder the terms:
-1 + -1cosx + -1cos2x + in2sx = 1 + -1in2sx + -1 + in2sx

Reorder the terms:
-1 + -1cosx + -1cos2x + in2sx = 1 + -1 + -1in2sx + in2sx

Combine like terms: 1 + -1 = 0
-1 + -1cosx + -1cos2x + in2sx = 0 + -1in2sx + in2sx
-1 + -1cosx + -1cos2x + in2sx = -1in2sx + in2sx

Combine like terms: -1in2sx + in2sx = 0
-1 + -1cosx + -1cos2x + in2sx = 0

The solution to this equation could not be determined.

See similar equations:

| 2x=6+6(-18) | | 4(f-6)=-36 | | 5x-23=-63 | | 5x+3-2x=3x+3 | | 10(s-10)=-138 | | z/7=2=2 | | 2x=6+(-16) | | 5x-23=63 | | f(4)=4x^2-6 | | 8y^4/y^3 | | 5(x-2)=3(x-6) | | 4xy-16ysquared= | | 5r^3y^4/2ry^5 | | 4a+9a=-18 | | -4(2x-8)=20 | | 35/42=5/x | | 8y+10=11y-13+10y-6 | | 6(x-6)-8x=-20 | | 2k-6-7+3k=-48 | | Y=A(2x)+8 | | 8+6y=5y-2 | | 11x+6=4x+13 | | 2w+15=35 | | 40/60=x/ | | -10(s+4)=-83 | | 7x-y+3=x | | 8k+6+9k=-26 | | 40n+8=12n+-4 | | (2/1)4/3 | | (3x-1)/4x-9=5/7 | | 7(3s+4)=280 | | 4(a-3)=28 |

Equations solver categories