Answer:
H. 2
Step-by-step explanation:
√(1 − cos² x) / sin x + √(1 − sin² x) / cos x
Use Pythagorean identity.
sin² x + cos² x = 1
So:
1 − cos² x = sin² x
and
1 − sin² x = cos² x
Substitute:
√(sin² x) / sin x + √(cos² x) / cos x
sin x / sin x + cos x / cos x
1 + 1
2
A triangle with lengths 5, 12, and 13 is a Pythagorean triple
The approximate acute angles are 22.6° and 67.4°
Pythagorean triple
Pythagorean triple consist of positive number(a, b, c) such that it obeys the rule:
A triangle whose sides form a Pythagorean triple is called a right angle triangle.
The longest side is the hypotenuse side.
Therefore,
- 5² + 12²
- 25 + 144 = 169
- √169 = 13
Therefore,
5² + 12² = 13²
This means the triangle is a Pythagorean triple.
<h3>Acute angles</h3>
Acute angles are angles that are less than 90 degrees. This means the other two angles are acute angle.
Therefore, let's find them
- tan ∅ = opposite / adjacent = tan ∅ = 5 / 12 = ∅ = 22.6198649155 = 22.6°
- 180 - 22.6 - 90 = 67.4°
learn more on Pythagorean triple here: brainly.com/question/2293263?referrer=searchResults
Because she had the $12 dollars on their but she can only use it at a certain store
You will use a2+b2=c2 (squared).The leg will represent the a2 or either b2 and the hypotenuse will be the c2.After filling in the variables you will then subtract the a2 which is the leg from the c2 which is the hypotenuse.And then you will factor it or square root it.If you square root it and it’s not a feasible answer then use the Christmas tree or birthday cake method to factor the answer and then you’ll have the value of b2 which is the unknown leg.
Common denominator is going to be 24
8=2*2*2
6=2*3
24=2*2*2*3
8 should be multiplied by 3
6 should be multiplied by 4
7/8=(7*3)/(8*3)=21/24
5/6=(5*4)/(6*4)=20/24
7/8=21/24
5/6=20/24
