Answer:
Step-by-step explanation:
0.5cos(2pi/9x-7pi/9)-4.5
Answer:
the answer to the first one would be: 4/3
the second problem's answer: 20/36, which can be reduced to 5/9
Answer:
x = -12
Step-by-step explanation:
Let x be the number.
The product of 5 and x increased by 9 is equal to 15 less than 3 times x.
5x + 9 = 3x - 15.
We can isolate x, getting (5-3)x = -15-9
Then we can solve:
2x = -24
x = -12.
We have that
3sin x+cos²<span>x=2
</span>3sin x+(1-sin²x)<span>=2
</span>-sin²x +3sin x=1
sin²x -3 sin x+1=0---------> up to here the procedure is correct
let
A=sin x
then
A²-3A+1=0
Group terms that contain the same variable, and move the
constant to the opposite side of the equation
(A²-3A)=-1
Complete the square. Remember to balance the equation
by adding the same constants to each side.
(A²-3A+2.25)=-1+2.25
Rewrite as perfect squares
(A-1.5)²=1.25
(+/-)(A-1.5)=1.12
first solution
(A-1.5)=1.12--------> A=1.12+1.5-----> A=2.62-----> sin x=2.62
second solution
-(A-1.5)=1.12----> -A+1.5=1.12----> A=1.5-1.12----> A=0.38---> sin x=0.38
the answer is
the equation was factored incorrectly
