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eduard
3 years ago
15

In ΔDFE, which trigonometric ratio has the same value as sin D?

Mathematics
2 answers:
DerKrebs [107]3 years ago
5 0
Hello,

sin (30°)= cos (60°)=1/2  (complementary angles)
sin D= cos E

Answer C

Makovka662 [10]3 years ago
3 0

Answer:

C. cos E

Step-by-step explanation:

We have been given a right triangle DEF. We are asked to find the trigonometric ratio, which has the same value as sin D.

We know that measure of angle F is 90 degrees as all angles of triangle add up-to 180 degrees. The side DE is hypotenuse of triangle DEF.

Let us find sin D for our given triangle.

\text{Sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}

\text{Sin(D)}=\frac{\text{FE}}{\text{DE}}

We know that cosine relates adjacent side of right triangle to hypotenuse.

\text{Cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}

We can see that FE is adjacent side of angle E, so:

\text{Cos(E)}=\frac{\text{FE}}{\text{DE}}

Therefore, cos E has the same value as sin D and option 'C' is the correct choice.

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abruzzese [7]

Answer:

-1 12⁄13

Step-by-step explanation:

-13x = 25 [Divide by -13]

x = -1 12⁄13

13 is your <em>divisor</em>, which will be your denominator, and the numerator is your <em>remainder</em><em>.</em><em> </em>Since 13 goes into 25 ONCE, 1 gets multiplied by 13 to get 13, then deduct that from 25 to get your remainder of 12. This is where you start putting the pieces together as a mixed number. Then attach the negative because whenever you divide a positive by a negative, you get a negative:

-25⁄13 = -1 12⁄13

I am joyous to assist you anytime.

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3 years ago
What expression is equal to 75. Squared?
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What is 32/23 as a decimal rounded to the nearest hundredth<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B32%7D%7B23%7D%20"
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A circle is centered on Point B. Points A, C, and D lie on it’s circumference. If Angle ADC measures 61 Degrees, what does Angle
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6 0
3 years ago
Read 2 more answers
Can someone please help me and ill mark you as brainlest
Vitek1552 [10]

9514 1404 393

Answer:

  F.  30·tan(52°)

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between the opposite and adjacent sides in a right triangle.

  Tan = Opposite/Adjacent

  tan(52°) = BD/DL

  BD = DL·tan(52°)

The boat-to-dock distance is ...

  30·tan(52°) . . . . matches F

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