The required coordinates of the unit circle for s = -11π/6 is (√3/2, 1/2). Using trigonometric functions, the required answer is calculated.
<h3>What are the trigonometric functions?</h3>
There are six trigonometric functions.
They are sin θ, cos θ, tan θ, sec θ, cosec θ, and cot θ.
Where θ - 0 to 360° or 0 to 2π
<h3>Calculation:</h3>
For a unit circle, the coordinates are given in the form of trigonometric functions as below:
x = cos θ and y = sin θ
Here it is given that s = θ = -11π/6
So, on substituting,
x = cos θ = cos (-11π/6)
⇒ x = √3/2
y = sin θ = sin (-11π/6)
⇒ y = 1/2
Thus, the required coordinate pair is (√3/2, 1/2).
Learn more about trigonometric functions here:
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Three planes a distinct lines have in common
Answer:
<h2>0.15 inches per month</h2>
Step-by-step explanation:
step one:
This problem is focused on the growth rate of a plant.
given data
the plants grow 5 inches in 34 months
and also that 1 month= 4 weeks
step two:
We can still say that
if 34 months see a growth of 5 inches
then 1 months will be X inches
cross multiply we have
X= 5/32 inches
step three:
converting this number to decimal we have
X= 0.15 inches per month
Therefore the growth rate would be
0.15 inches per month
Answer:
9
Step-by-step explanation:
1. First, we need to set up an equation to find the value of x and then the length of EF.
2. We know that DG is equal to 33, so we can add all the three sections it's cut into altogether to get 33. Therefore, we get an equation of:
3. (Solving for x)
Step 1: Simplify both sides of the equation.
Step 2: Add 58 to both sides.
Step 3: Divide both sides by 7.
4. Now that we know x is equal to 13, we can plug that value in for the expression 3x - 30.
Therefore, the length of EF is 9.
Answer:
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