SOLUTION: if sin(x+30)�=cos40� find x

Question 1107462: if sin(x+30)�=cos40� find x
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
if you are allowed to use your calculator to find the answer to this poroblem, then:

cos(40) = .7660444431.

let the angle you are looking for the sine of be equal to y.

you get sin(y) = .7660444431.

arcsin(.766044431) = y

solve for y to get y = 50 degrees.

y is equal to x + 30 which makes x equal to 20 degrees.

you get sin(20 + 30) = cos(40)

simplify to get sin(50) = cos(40).

sin(50) = .7660444431.

cos(40) = the same.

x = 20 degrees is your solution.

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