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NISA [10]
3 years ago
15

Use the diagram to complete the statements about how to prove the cosine sum identity. A unit circle. Point P is on the circle o

n the x-axis at (1, 0). Point S is in quadrant 4 on (cosine (negative beta), sine (negative beta) ). Point Q is in quadrant 1 above point P at (cosine (alpha), sine (alpha) ). Point R is above point Q at (cosine (alpha + beta), sine (alpha + beta) ). Triangles AOC and BOD are congruent by SAS. Therefore, and these lengths can be found using the . Because this is the unit circle, the coordinates of points A, B, and D are equal to cosine and sine of Alpha + Beta , Alpha, and –β, respectively. Write expressions for the lengths and set them equal. Rewrite cos(-Beta) and sin(-Beta) using the identities before squaring both sides of the equation. Simplifying the resulting expressions involving cosine and sine of Alpha, Beta, and Alpha + Beta requires using the identity. When simplified, the equation becomes cos(Alpha + Beta) = cos(Alpha)cos(Beta) - sin(Alpha)sin(Beta).

Mathematics
2 answers:
yaroslaw [1]3 years ago
8 0

Answer:

AC=BD

distance formula

Pythagorean identity

Step-by-step explanation:

just did it on edge

ozzi3 years ago
5 0

Answer:

Step-by-step explanation:

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3 years ago
1. Mr. Hurst's house increased in value to $185,400 one year after he bought
katovenus [111]

Answer:

B.

Step-by-step explanation:

Mark me brainliest if correct plz. If incorrect, you can give me 1 star to let me know. Thank you!

8 0
3 years ago
Iris tenía cierta cantidad de dinero por su cumpleaños su mamá le dio 20 soles después tu papá le dio el triple de lo que ya ten
Alisiya [41]

Resultado:

{ \:  \:  \:  \:  \:  \:  \:  \:  \:  \Rightarrow 20 + 60 + 80 = 160}

\:  \:  \:  \:  \:  \:  \:  \:  \: \sf \Rightarrow20+60+80=160

\:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: { \sf \Rightarrow160 - 100 = 60}

\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \sf \Rightarrow160−100=60

\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: { \sf \Rightarrow100 - 60 = 40}

\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: { \sf \Rightarrow100−60=40}

\:  \:  \:  \:  \:  \:  \sf \Rightarrow60 + 40 + 100 = 200

\:  \:  \: \:  \:  \:  \: { \sf  \Rightarrow60+40+100=200}

\bf\green{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: Answer :}

Iris al principio tenía 40 soles.

Espero que te sirva, salu2!!!!

3 0
2 years ago
Read 2 more answers
C. Show that 1 1/2 ÷ 3/16 = ? <br> show all the steps of your working
Pani-rosa [81]

Answer: 8

Step-by-step explanation: (1 1/2) / (3/16) > (3/2) x (16/3) > (48/6) > 8

3 0
2 years ago
Y=3x-1 substitute -3 for x
Brums [2.3K]
The answer should be -10
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3 years ago
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