Answer:

Step-by-step explanation:
Given

Required
Use the expression to prove a trigonometry identity
The given expression is not complete until it is written as:

Going by the Pythagoras theorem, we can assume the following.
- a = Opposite
- b = Adjacent
- r = Hypothenuse
So, we have:


Having said that:
The expression can be further simplified as:

Substitute values for sin and cos
becomes

Answer:
b
Step-by-step explanation:
b is the right answer
it is
sure
Answer:
α² +β² = 3 4/9
Step-by-step explanation:
Assuming α and β are solutions to the equation, it can be factored as ...
(x -α)(x -β) = 0
Expanding this, we get ...
x² -(α +β)x +αβ = 0
Dividing the original equation by 3, we find ...
x² +(1/3)x -5/3 ≡ x² -(α+β)x +αβ ⇒ (α+β) = -1/3, αβ = -5/3
We know that the square (α+β)² can be expanded to ...
(α +β)² = α² +β² +2αβ
α² +β² = (α +β)² -2αβ . . . . . . subtract 2αβ
Substituting the values for (α+β) and αβ, we find the desired expression is ...
α² +β² = (-1/3)² -2(-5/3) = 1/9 +10/3 = 31/9
α² +β² = 3 4/9
Answer:
M: 74.579° = 74°34'43" = 1.30164
O: 49.421° = 49°25'17" = 0.86256 rad