Question

sin(3x+50)+cos(2x+10)=0

Answer 1

Step-by-step explanation:

Simplifying sin(3x + 50) + cos(2x + -10) = 0

Reorder the terms: ins(50 + 3x) + cos(2x + -10) = 0 (50 * ins + 3x * ins) + cos(2x + -10) = 0

(50ins + 3insx) + cos(2x + -10) = 0

Reorder the terms: 50ins + 3insx + cos(-10 + 2x) = 0 50ins + 3insx + (-10 * cos + 2x * cos) = 0 50ins + 3insx + (-10cos + 2cosx) = 0

Reorder the terms: -10cos + 2cosx + 50ins + 3insx = 0 Solving -10cos + 2cosx + 50ins + 3insx = 0 Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right. Add '-50ins' to each side of the equation.

-10cos + 2cosx + 50ins + -50ins + 3insx = 0 + -50ins

Combine like terms: 50ins + -50ins = 0 -10cos + 2cosx + 0 + 3insx = 0 + -50ins -10cos + 2cosx + 3insx = 0 + -50ins

Remove the zero: -10cos + 2cosx + 3insx = -50ins Add '-3insx' to each side of the equation.

-10cos + 2cosx + 3insx + -3insx = -50ins + -3insx Combine like terms: 3insx + -3insx = 0 -10cos + 2cosx + 0 = -50ins + -3insx -10cos + 2cosx = -50ins + -3insx

Reorder the terms:

-10cos + 2cosx + 50ins + 3insx = -50ins + 50ins + -3insx + 3insx Combine like terms: -50ins + 50ins = 0 -10cos + 2cosx + 50ins + 3insx = 0 + -3insx + 3insx -10cos + 2cosx + 50ins + 3insx = -3insx + 3insx Combine like terms: -3insx + 3insx = 0 -10cos + 2cosx + 50ins + 3insx = 0

Factor out the Greatest Common Factor (GCF), 's'. s(-10co + 2cox + 50in + 3inx) = 0

Subproblem 1

Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0

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

Add '-1s' to each side of the equation. s + -1s = 0 + -1s Remove the zero:

0 = -1s Simplifying 0 = -1s

The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-10co + 2cox + 50in + 3inx)'

equal to zero and attempt to solve:

Simplifying

-10co + 2cox + 50in + 3inx = 0

Solving

-10co + 2cox + 50in + 3inx = 0

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

Add '-50in' to each side of the equation.

-10co + 2cox + 50in + -50in + 3inx = 0 + -50in Combine like terms:

50in + -50in = 0 -10co + 2cox + 0 + 3inx = 0 + -50in -10co + 2cox + 3inx = 0 + -50in Remove the zero

: -10co + 2cox + 3inx = -50in Add '-3inx' to each side of the equation.

-10co + 2cox + 3inx + -3inx = -50in + -3inx Combine like terms:

3inx + -3inx = 0 -10co + 2cox + 0 = -50in + -3inx -10co + 2cox = -50in + -3inx

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.