(3 cos x-4 sin x)+(3sin x+4 cos x)=5
(3cos x+4cos x)+(-4sin x+3 sin x)=5
7 cos x-sin x=5
7cos x=5+sin x
(7 cos x)²=(5+sinx)²
49 cos²x=25+10 sinx+sin²x
49(1-sin²x)=25+10 sinx+sin²x
49-49sin²x=25+10sinx+sin²x
50 sin² x+10sinx-24=0
Sin x=[-10⁺₋√(100+4800)]/100=(-10⁺₋70)/100
We have two possible solutions:
sinx =(-10-70)/100=-0.8
x=sin⁻¹ (-0.8)=-53.13º (360º-53.13º=306.87)
sinx=(-10+70)/100=0.6
x=sin⁻¹ 0.6=36.87º
The solutions when 0≤x≤360º are: 36.87º and 306.87º.
Answer:
-32x+26
Step-by-step explanation:
Answer:
1. {5,-9}
2.{4}
3.{9/2}
Step-by-step explanation:
The equation 
can be solved as follows:
Then, the solutions of the equation are 
.
Now, if 
, we can solve the equation 
as follows:
So, the unique solution of this last equation is 
The last equation is 
, where 
. To solve this equation we can proceed as follows:
But, x=11/4 is not a solution of this equation. So the unique solution is x=9/2.
The answer is quite simple after looking at it. 0.1 is a tenth. 72 is a whole number, so you would have 72 1/10. 1/10 is a tenth and 72 is still the whole number.
Equation= x divided by -9 = -16
solve= 9 x 16 = 144
answer is 144
