1.) How would I simplify: sin4x*cos3x -cos3x*sin3x into a single trigonometric function?

2.) determine the general solution to the equation root2*cosx= sin2x ?

1 answer

sin(A-B) = sinAcosB - cosAsinB
I suspect a typo, and you meant sin4x*cos3x -cos4x*sin3x
so you have just sin(4x-3x) = sin(x)
If not, then you have cos3x(sin4x-sin3x) and that does not simplify to much.

Now, for
√2 cosx = sin2x
√2 cosx - 2sinx cosx = 0
cosx (√2 - 2sinx) = 0
cosx = 0
sinx = 1/√2
So x = π/2 + kπ or π/2±π/4 + 2kπ
Similar Questions
  1. Simplify:(cosx + cos2x + cos3x + cos4x + cos5x + cos6x) / (sinx + sin2x + sin3x + sin4x + sin5x + sin6x) into a single Cotangent
    1. answers icon 2 answers
    1. answers icon 2 answers
    1. answers icon 0 answers
  2. the expression cos4x cos3x + sin4x sin3x is equivalent towhich one of the following is the answer: 1) sinx 2) sin7x 3) cosx 4)
    1. answers icon 4 answers
more similar questions