Which of the following phrases best describes the law of cosines? choose the correct answer. a. the length of a side of a triangle is equal to the sum of the squares of the remaining two sides, minus twice the product of the two remaining sides and the cosine of the angle between them. b. the length of a side of a triangle is equal to the sum of the squares of the remaining two sides, plus twice the product of the two remaining sides and the cosine of the angle between them. c. the square of any side of a triangle is equal to the sum of the squares of the remaining two sides, plus twice the product of the two remaining sides and the cosine of the angle between them. d. the square of any side of a triangle is equal to the sum of the squares of the remaining two sides, minus twice the product of the two remaining sides and the cosine of the angle between them.

B. The length of a side of a triangle is equal to the sum of the squares of the remaining two sides, plus twice the product of the two remaining sides and the cosine of the angle between them.

Step-by-step explanation:

This is the correct solution to your question.

Hope this helps!!!

Kyle.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for