Respuesta :

jcherry99
Sin(x + 22) = sin(x)*cos(22) + sin(22)*cos(x)

cos(2x - 7) = cos(2x)*cos(7) + sin(2x)*sin(7)
cos(2x - 7) = [cos^2(x) - sin^2(x)]*cos(7) + 2sin(X)*cos(x)*sin(7)

Somebody sure doesn't like you guys very much. A weak joke. I think the best you can do to start with is graph this relationship. The best I can do is get an answer that is somewhere around 145 degrees. - 61 degrees, - 214 degrees and 255 degrees.

If you are intended to solve this any other way by using the double angle formulas as I started to get above and  sin(x) or cos(x) I would take the 0 and hope to make it up some other way.

The domain is between -360 and plus 360. The range is between +/- 1.
smmwaite

Answer

25

Explanation

sin (x + 22)° = cos (2x - 7)°

In trigonometry for any equation where sinθ = cosΦ, θ and Φ are complementary. That is they add up to 90°

sinθ = cosΦ   ⇒ θ + Φ = 90

∴ sin (x + 22)° = cos (2x - 7)°

    (x + 22) + (2x - 7) = 90

    x + 22 + 2x - 7 =90

    3x + 15 = 90

    3x = 90 - 15

      3x = 75

         x = 25°





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