7sin^2(x)-2cos^2(x)=1

Simple and best practice solution for 7sin^2(x)-2cos^2(x)=1 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 7sin^2(x)-2cos^2(x)=1 equation:


Simplifying
7sin2(x) + -2cos2(x) = 1

Multiply in2s * x
7in2sx + -2cos2(x) = 1

Multiply cos2 * x
7in2sx + -2cos2x = 1

Reorder the terms:
-2cos2x + 7in2sx = 1

Solving
-2cos2x + 7in2sx = 1

Solving for variable 'c'.

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

Add '-7in2sx' to each side of the equation.
-2cos2x + 7in2sx + -7in2sx = 1 + -7in2sx

Combine like terms: 7in2sx + -7in2sx = 0
-2cos2x + 0 = 1 + -7in2sx
-2cos2x = 1 + -7in2sx

Divide each side by '-2os2x'.
c = -0.5o-1s-2x-1 + 3.5in2o-1s-1

Simplifying
c = -0.5o-1s-2x-1 + 3.5in2o-1s-1

Reorder the terms:
c = 3.5in2o-1s-1 + -0.5o-1s-2x-1

See similar equations:

| x+64=3x-4 | | 1+3q=4 | | x/-22=10 | | 5g-13=8g-5 | | (3r^4+3r^2)-(5r^6+6r^2)= | | 23b=-759 | | -21s=441 | | 25x^4-30x^2+9=(4x+3)(4x-3)+9x^2+3 | | -215=441 | | 43=8-7x | | 5-3x-12-4/x-4 | | z/17=-17 | | 8(x+37)=312 | | 144+136=180 | | -30r=-600 | | 0.35x^2-329x+975=1339 | | 5x+8y=5000 | | 11-2x=3x-44 | | -17=8x-1 | | 2x+7+29=90 | | x(x-8)=22 | | 3.9E-12= | | 5(y+4)=65 | | (5x^2-3)=(4x+3)(4x-3)+9x^2+3 | | 7+logx=4 | | 6=3u-3 | | -9a-1/2=63-1/2 | | -94-1/2=63-1/2 | | 4u+8=-12 | | 7x^2+7x=2x+2 | | -5x+56=2x-42 | | 2(x+4)+9=5x-1 |

Equations solver categories