Taking Rhs
1/2 [sin(x+y)+ sin (x-y)]
using sinA + sin B = 2 cos (A+B)/2 cos( A - B)/2
1/2 [ 2 Cos ( x+y+x-y)/2 . Cos (x+y-x+y)/2]
=Cos 2x/2. Cos 2y/2 = Cos x . Cos y
Hence true
by the inverse function definition, we will have that:
<h3>How to find the values of the inverse function?</h3>
Remember that, by definition, for an invertible function f(x) we have that:
f(x) = y
then:
f⁻¹(y) = x
Where f⁻¹(x) is the inverse function of f(x).
Now, we want to find:
f⁻¹(-2) and f⁻¹(1)
If you look at the given table, we can see that we have the points (3, -2) and (0, 1), which means that:
f(3)= -2
f(0) = 1
Then, by the inverse function definition, we will have that:
If you want to learn more about inverse functions:
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Answer:
a ≤ 15
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
3(a - 4) ≤ 33
<u>Step 2: Solve for </u><em><u>a</u></em>
- Divide 3 on both sides: a - 4 ≤ 11
- Add 4 on both sides: a ≤ 15
Here we see that any value <em>a </em>less than or equal to 15 would work as a solution to the inequality.
Answer:
199.8°
Step-by-step explanation:
The circle has radius r = 7 ft.
Now, the circumference of the circle is given by the formula C = 2πr
So,
ft.
Now, 44 ft arc length is equivalent to 360°
Hence, 24.42 ft arc length is equivalent to
degree.
Therefore, the central angle is 199.8° (Answer)
Answer:
1 is the correct answer
Step-by-step explanation: