Component Identities

  • Thread starter brandon26
  • Start date
  • #1
107
0
Solve for x

3sin(x+10)=4cos(x-10)

I tried changinf everything into tan nothing out. I tried expaning the brackets and collecting like terms, that didnt work out either.
Please help.
 

Answers and Replies

  • #3
107
0
Yeh, but I cant simplify anything to solve the problem
 
  • #4
Astronuc
Staff Emeritus
Science Advisor
18,858
2,122
Well expand the sin and cos and apply cos (-x) = cos x, and sin (-x) = -sin x.

Then collect terms/coefficients of cos x and sin x.

If one has a form A cos x = B sin x, the tan x = A/B and x = tan-1 (A/B). In this problem A and B have terms of sin 10 and cos 10.
 

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