cos^4(t)-sin^4(t)=1-2sin^2(t)

Simple and best practice solution for cos^4(t)-sin^4(t)=1-2sin^2(t) 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 cos^4(t)-sin^4(t)=1-2sin^2(t) equation: 


Simplifying
cos4(t) + -1sin4(t) = 1 + -2sin2(t)

Multiply cos4 * t
cos4t + -1sin4(t) = 1 + -2sin2(t)

Multiply in4s * t
cos4t + -1in4st = 1 + -2sin2(t)

Multiply in2s * t
cos4t + -1in4st = 1 + -2in2st

Solving
cos4t + -1in4st = 1 + -2in2st

Solving for variable 'c'.

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

Add 'in4st' to each side of the equation.
cos4t + -1in4st + in4st = 1 + -2in2st + in4st

Combine like terms: -1in4st + in4st = 0
cos4t + 0 = 1 + -2in2st + in4st
cos4t = 1 + -2in2st + in4st

Divide each side by 'os4t'.
c = o-1s-4t-1 + -2in2o-1s-3 + in4o-1s-3

Simplifying
c = o-1s-4t-1 + -2in2o-1s-3 + in4o-1s-3

Reorder the terms:
c = -2in2o-1s-3 + in4o-1s-3 + o-1s-4t-1

See similar equations:

| Fuck*you=69 | | 2x-22+3=63 | | R/6=1 | | 4x-c=kf | | 8x+29=7x+16 | | -2x=-750 | | -6(x+3)-(x+4)=-11 | | 3q+10=79 | | x+8=120 | | j-38=24 | | 9x-20=15y | | Fuck+you=0 | | 92=r+11 | | (D^2+4D)y=0 | | z-3=54 | | 2x+(-7)=9 | | (-2ab+5a+5)-(-8ab+5)= | | 9y+6x=0 | | d+9d=10 | | [5-4a]=8a-31 | | [6x+2]=3x+5 | | 3g=17.73 | | [4x-7]-8=13 | | y=8.8x-7.9 | | 5x^2-6xy+5x^2=32 | | [2x]-8=40 | | x/-128 | | G=xcy | | 2(y+9)=2(y-6) | | (6x-27)=(4x-7) | | 49x=35 | | Xk=wv |

Equations solver categories