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defon
2 years ago
12

Which set of steps can be used to prove the sine sum identity, sin(x + y) = sin(x)cos(y) + cos(x)sin(y)?

SAT
1 answer:
icang [17]2 years ago
7 0

The set of the steps used to prove the sine sum identity are use the complementary relationship between sine and cosine to rewrite sin(x + y) as Cosine (Start Fraction pi over 2 End Fraction minus (x + y) ). Apply the cosine sum identity. Then simplify, using sin( –y ) = –sin(y) and cos(–y) = cos(y).

<h3>What is trigonometry?</h3>

Trigonometry is the study of side, length and angles of the triangle. There are some formulas to solve trigonometry which we have to memorize.

Thus, the correct option is A.

Learn more about trigonometry

brainly.com/question/26719838

#SPJ1

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Of the $10$ kids in a chess club, $5$ are left-handed and $5$ are right-handed. the club holds a round-robin tournament in which
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The total number of games a girl play against a boy is 25, the number of games a girl plays against a boy is 10, the fraction of the games are boy-versus-boy is 2/9, and 1/5 is the fraction of all games at the tournament Anita plays.

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We are given that there are 5 girls and 5 boys in a chess club.

Thus, total games that girls play against a boy = 5×5 = 25

The number of games a girl play against another is the total number of games = 10

The number of games that are boy vs boy = 10

The number of games Boy vs Boy + Girl vs Girl + Boy vs Girl = 10 + 10 + 25 =  45

Fraction of the games that are boy vs boy = 10/45 = 2/9

If Anita is one of the club members, then Anita will have to play against 9 people at the tournament.

Total number of games = 45

Then the fraction of all games at the tournament Anita play the game.= 9/45 ⇒ 1/5

Thus, the total number of games a girl play against a boy is 25, the number of games a girl plays against a boy is 10, the fraction of the games are boy-versus-boy is 2/9, and 1/5 fraction of all games at the tournament Anita plays.

Read more about Permutation and Combination at; brainly.com/question/4658834

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