Answer:
x={0, 2pi/3, pi, 4pi/3}
Step-by-step explanation:
First, move sin x by adding sin x to both sides. sin 2x+ sin x = 0. Next using the double angle identity, sin 2x=2(sin x)(cos x), so 2(sin x)(cos x)+sinx=0. Factoring, sin x(2cos x +1)=0. Solving, sin x=0 and 2cos x +1 = 0, or cos x = -1/2.
sin x = 0. Using the unit circle, sin x=0 when x=0 and x=pi.
cosx=-1/2. Using the unit circle, cos x= -1/2 when x=2pi/3 and x=4pi/3.
Answer:
(1, 1)
Step-by-step explanation:
Multiply x and y by 0.25 to find the new coordinates after dilation
Step-by-step explanation:
27x² = 3*3*3*x*x
45x³y² = 3*3*5*x*x*x*y*y
Now
GCF = 3 * 3 *x * x = 9x²
Answer:
The zeros are:
- The function has three distinct real zeros.
Hence, option (B) is true.
Step-by-step explanation:
Given the expression
Let us determine the zeros of the function by putting h(x) = 0 and solving the expression
switch sides
as
so
Using the zero factor principle
so
Thus, the zeros are:
It is clear that there are three zeros and all the zeros are distinct real numbers.
Therefore,
- The function has three distinct real zeros.
Hence, option (B) is true.
