Consider a ΔABC in which ∠ C = 90°, ∠A = 60° and ∠ B = 30°.
Side AB will be the hypotenuse.
cos 60° = AC / AB -------[ cos 60° = 1/2]
So, AB = 2 AC -------------------------------(1)
Apply Pythagorean Theorem to find BC
AB² = BC² + AC²
4 AC² = BC² + AC²
So, BC = √3 AC ------------------------(2)
Now, we shall find the value of cos 30°
cos 30° = CB / AB
or, = √3 AC / 2 AC -------using equations (1) and (2)
So, cos 30° = √3 / 2
Hence, the exact value of
Since ∠A = 2∠B. So, cos 30° will be √3 / 2
Answer:
not possible
Step-by-step explanation:
You are told that one side of each triangle is congruent, and we know that vertical angles are congruent, therefore you have SA. SA does not determine similarity, so it is not possible with the amount of information given.
4m-t=m
Solution: collect d like term's
4m-m=t
3m=t
m=t/3
Answer:
Step-by-step explanation:
We want to prove algebraically that:
is a parabola.
We use the relations
and
Before we substitute, let us rewrite the equation to get:
Or
Expand :
We now substitute to get:
This means that:
Square:
Expand:
This is a parabola (0,2.5) and turns upside down.
