Ask a New Question
Menu

how can i solve for x given this?? pls. show detailed solution..just can't figure it out.thanks in advance!

6cosx+3cos35cosx-3sin35sinX=7cosx

1 answer

6*Cos x + 2.46*Cos x - 1.72*sin x = 7*Cos x.
8.46*Cos x - 1.72*sin x = 7*Cos x.
8.46*Cos x - 7*Cos x = 1.72*sin x.
1.46*Cos x = 1.72*sin x.
Divide by Cos x:
1.72*sin x/Cos x = 1.46.
Replace sin x/Cos x with Tan x:
1.72*Tan x = 1.46.
Tan x = 1.46/1.72 = 0.84848.
X = 40.3 Degrees.