Answer:
The correct options are:
- g(x) is shifted three units higher than f(x).
- g(x) has a period that is half the period of f(x).
Step-by-step explanation:
We have to compare the graphs of the function:
and 
We have to select the correct options among the following:
As we know that the period of sine function is 2π.
i.e. Period of function f(x) is: 2π.
The period of sin(2 x) is π.
Hence, the period of the function g(x) function is π.
- Hence, the period of g(x) is half the period of f(x).
- Also we could observe that g(x) is shifted 3 units upward.
Remember that cos is just a translation of sin and vice versa.
So:
Sin(x) = Cos(90 - x)
Cos(x) = Sin(90 - x)
Therefore, to answer your question:
Cos(19) = Sin(90 - 19)
= Sin(71)
Answer:
its B
Step-by-step explanation:
Answer:
The mixture C is the correct option
Step-by-step explanation:
According to the given scenario, the calculation is as follows:
For Mixture A
Blue Paint - 5 cups
White Paint - 12 cups
The ratio between them is 5:12
For Mixture B
Blue Paint - 6 cups
White Paint - 6 cups
The ratio between them is 6:6 = 12:12
It came by multiply the numerator and denominator by 12
For Mixture C
Blue Paint - 4 cups
White Paint - 12 cups
The ratio between them is 4:12
For Mixture D
Blue Paint - 5 cups
White Paint - 6 cups
The ratio between them is 5:6 = 10:12
It came by multiply the numerator and denominator by 12
As it can be seen that in all four mixtures the denominator is the same so for calculating the lowest ratio we have to see the small value in the numerator
As it can be seen that there is a small value of 4
hence, the mixture C is the correct option
Answer:
That would be sina.
Step-by-step explanation:
sin(a+b) = sinacosb + cosasinb
sin(a-b) = sinacosb - cosasinb
Adding we get sin(a+b) + sin(a-b) = 2sinaccosb
so sinacosb = 1/2sin(a+b) + sin(a-b)
