I need to know, the area of sector AOB is what fractional part of the area of circle O
1 answer:
You might be interested in
The Triangle sum theorem states that the sum measures of the interior angles of a triangle is 180 degree
<em><u>Solution:</u></em>
We know that,
The Triangle Sum Theorem states that if you add all three interior angles, those are the angles inside the triangle, they would always add up to 180 degrees.
It is easy to remember that we add the three angle measurements to get 180 degrees because of the word sum in the name of the theorem. To make it short and sweet:
Consider a triangle with interior angles a, b, and c. Then we can say,
The Triangle Sum Theorem is also called the Triangle Angle Sum Theorem or Angle Sum Theorem
Answer:
Step-by-step explanation:
To solve this question we're going to use trigonometric identities and good ol' Pythagoras theorem.
a) Firstly, sec(θ)=52. we're gonna convert this to cos(θ) using:
we can substitute the value of sec(θ) in this equation:
and solve for for cos(θ)
side note: just to confirm we can find the value of θ and verify that is indeed an acute angle by
b) since right triangle is mentioned in the question. We can use:
we know the value of cos(θ)=1\52. and by comparing the two. we can say that:
- length of the adjacent side = 1
- length of the hypotenuse = 52
we can find the third side using the Pythagoras theorem.
- length of the opposite side = √(2703) ≈ 51.9904
we can find the sin(θ) using this side:
and since