We know that
and this is the only point when sin and cos are equal lengths. Because both 
Now if the sin of 30° is a half that would mean that cos of 60° is also a half.
Hope this helps.
<u>r3t40</u>
The rule for g(x) is: 
Step-by-step explanation:
Given function is:

When a function f(x) is shifted right or left, b units the new function is written as:

Shifting right

Shifting left

Similarly, when shifting up or down

As our given function is shifted 3 units to the right, it will be written as:

The function is when moved down 3 units, then

Hence
The rule for g(x) is: 
Keywords: Function transformation, Functions
Learn more about functions at:
#LearnwithBrainly
This problem cannot be solved unless we are given figure NPQR is a rhombus.
In that case, then all sides are equal, meaning
5x+16=9x-32
Solve for x
9x-5x=16+32
4x=48
x=12
Each side (including PQ) then equals 5x+16=5*12+16=76
You know how a puppy is a kind of dog, but not all dogs are puppies? Well, the same thing is true for lots of other categories of things, including squares and rectangles.
Answer:
The psychologist finds that the estimated Cohen's d is 0.583.
Step-by-step explanation:
The Cohen's d is used to calculate the effect size, appied when a null hypothesis is rejected.
It can be calculated for this case of population mean as:

The psychologist finds that the estimated Cohen's d is 0.583.