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bazaltina [42]
3 years ago
13

Which one is the answer

Mathematics
1 answer:
Burka [1]3 years ago
8 0

Answer:

58

Step-by-step explanation:

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Prove the identity.<br> tan(x − y) + tan(z − x) + tan(y − z) = tan(x − y) tan(z − x) tan(y − z)
Viktor [21]

Step-by-step explanation:

This is known as the triple tangent identity.  Start with the fact that the three angles add up to 0.

(x − y) + (z − x) + (y − z) = 0

Subtract two terms to the other side and take the tangent:

x − y = -((z − x) + (y − z))

tan(x − y) = tan(-((z − x) + (y − z)))

Use reflection property:

tan(x − y) = -tan((z − x) + (y − z))

Now use angle sum identity:

tan(x − y) = -[tan(z − x) + tan(y − z)] / [1 − tan(z − x) tan(y − z)]

tan(x − y) = [tan(z − x) + tan(y − z)] / [tan(z − x) tan(y − z) − 1]

tan(x − y) [tan(z − x) tan(y − z) − 1] = tan(z − x) + tan(y − z)

tan(x − y) tan(z − x) tan(y − z) − tan(x − y) = tan(z − x) + tan(y − z)

tan(x − y) tan(z − x) tan(y − z) = tan(x − y) + tan(z − x) + tan(y − z)

4 0
3 years ago
A cake recipe calls for 1 3/4 cups of flour. If Gloria is planning on making 7 cakes for a bake sale, how many cups of flour wil
Gwar [14]
1 3/4 x 7 = 12 1/4 Hope this help.
3 0
3 years ago
The FDA has established that the concentration of a certain pesticide in apples may not exceed 10 ppb. A random sample of 100 ap
ki77a [65]

Answer:

Step-by-step explanation:

(10.03 - 10)/(.12/sqrt 100) = 2.5

P(Z > 2.5) = .0062

p-value = .0062. The apples are not within the FDA requirement

4 0
3 years ago
Daniel got a traffic citation. He had the option of paying 30% of his fine for traffic school. If traffic school cost $240, how
White raven [17]
30% of the fine is $240

Let x = fine
.3x = 240 \\ x = 240  \div .3 \\ x = 800
The fine is $800
5 0
3 years ago
Read 2 more answers
I need help with these questions, thanks!
kifflom [539]

Answer:

????

Step-by-step explanation:

number 1 could be 2 different answers

7 0
3 years ago
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