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katovenus [111]
2 years ago
13

Which three comparisons are correct?

Mathematics
1 answer:
tatuchka [14]2 years ago
8 0

Answer:

B,C,F

Step-by-step explanation:

That's the answer. Hope that helps.

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Use trigonometric identities to solve each equation within the given domain.
katrin [286]

Recall that the tangent function is defined by

tan(<em>x</em>) = sin(<em>x</em>)/cos(<em>x</em>)

Also recall the double angle identity for sine,

sin(2<em>x</em>) = 2 sin(<em>x</em>) cos(<em>x</em>)

Then the equation is the same as

3 sin(<em>x</em>)/cos(<em>x</em>) = 4 sin(<em>x</em>) cos(<em>x</em>)

Move everything to one side to prepare to factorize:

3 sin(<em>x</em>)/cos(<em>x</em>) - 4 sin(<em>x</em>) cos(<em>x</em>) = 0

sin(<em>x</em>)/cos(<em>x</em>) (3 - 4 cos²(<em>x</em>)) = 0

As long as cos(<em>x</em>) ≠ 0, we can omit the term in the denominator, so we're left with

sin(<em>x</em>) (3 - 4 cos²(<em>x</em>)) = 0

and so

sin(<em>x</em>) = 0   <u>or</u>   3 - 4 cos²(<em>x</em>) = 0

sin(<em>x</em>) = 0   <u>or</u>   cos²(<em>x</em>) = 3/4

sin(<em>x</em>) = 0   <u>or</u>   cos(<em>x</em>) = ±√3/2

On the interval [0, 2<em>π</em>),

• sin(<em>x</em>) = 0 for <em>x</em> = 0 and <em>x</em> = <em>π</em>

• cos(<em>x</em>) = √3/2 for <em>x</em> = <em>π</em>/6 and <em>x</em> = 11<em>π</em>/6

• cos(<em>x</em>) = -√3/2 for <em>x</em> = 5<em>π</em>/6 and <em>x</em> = 7<em>π</em>/6

(None of these <em>x</em> make cos(<em>x</em>) = 0, so we don't have to omit any extraneous solutions.)

6 0
3 years ago
Evaluate using the order of operation 3/4+5/6÷2/3
Novosadov [1.4K]
3/4+5/6 divided by 2/3 is 8/4 or 2
Do 5/6 divided by 2/3 first to get 5/4
then use 5/4 to +3/4 and the answer is 8/4 or 2
5 0
3 years ago
NO LINKS
Elza [17]
So the answer is 30 packages but I did 25 times 20 = 500 and then 25 times 10 = 250
So. 30 = 750
6 0
2 years ago
Read 2 more answers
Correct answers only please!
-Dominant- [34]

Answer:

63.4

Step-by-step explanation:

The triangle is right angled , so :

tan S = UT/ST

tan S = 2/1

tan S = 2

S = tan^{-1}2

S = 63.4

5 0
3 years ago
1.1.31
miv72 [106K]

Answer:yes

  • Step-by-step explanation:well its just yes so your welcome

7 0
3 years ago
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