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GarryVolchara [31]
3 years ago
6

Find sin, where the angle is shown Give the exact value, not a decimal approximation

Mathematics
1 answer:
olga_2 [115]3 years ago
6 0

Answer:

sinΘ = \frac{24}{25}

Step-by-step explanation:

sinΘ = \frac{opposite}{hypotenuse}

The opposite is 24, but we require the hypotenuse h

Using Pythagoras' identity

h² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )

h = \sqrt{625} = 25

Thus

sinΘ = \frac{24}{25}

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Alec pours the same amount of soup into three balls he used 4 cups of soup how much soup is in each bowl
Ugo [173]
For this question you would need to do 4 divided by 3.  The answer would be 1.3 cup(s) would be in each bowl.


Hope that helps!!

7 0
3 years ago
Please help me out :P
Veseljchak [2.6K]

cos θ = \frac{-4\sqrt{65} }{65}, sin θ = \frac{-7\sqrt{65} }{65}, cot  θ  = 4/7, sec  θ = \frac{-\sqrt{65} }{4}, cosec  θ  = \frac{-\sqrt{65} }{7}

<h3>What are trigonometric ratios?</h3>

Trigonometric Ratios are values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

Sin θ: Opposite Side to θ/Hypotenuse

Tan θ: Opposite Side/Adjacent Side & Sin θ/Cos

Cos θ: Adjacent Side to θ/Hypotenuse

Sec θ: Hypotenuse/Adjacent Side & 1/cos θ

Analysis:

tan θ = opposite/adjacent = 7/4

opposite = 7, adjacent = 4.

we now look for the hypotenuse of the right angled triangle

hypotenuse = \sqrt{7^{2} + 4^{2} } = \sqrt{49+16} = \sqrt{65}

sin θ = opposite/ hyp = \frac{7}{\sqrt{65} }

Rationalize, \frac{7}{\sqrt{65} } x \frac{\sqrt{65} }{\sqrt{65} } = \frac{7\sqrt{65} }{65}

But θ is in the third quadrant(180 - 270) and in the third quadrant only tan and cot are positive others are negative.

Therefore, sin θ = - \frac{7\sqrt{65} }{65}

cos   θ  = adj/hyp = \frac{4}{\sqrt{65} }

By rationalizing and knowing that cos  θ  is negative, cos θ  = -\frac{-4\sqrt{65} }{65}

cot θ  = 1/tan θ  = 1/7/4 = 4/7

sec θ  = 1/cos θ  = 1/\frac{4}{\sqrt{65} } = -\frac{-\sqrt{65} }{4}

cosec θ  = 1/sin θ  = 1/\frac{\sqrt{65} }{7} = \frac{-\sqrt{65} }{7}

Learn more about trigonometric ratios: brainly.com/question/24349828

#SPJ1

5 0
1 year ago
If you help me I give you branliest
Vanyuwa [196]

Answer:

option 4

Step-by-step explanation:

m \angle MNO = \frac{1}{2} \times m MN\\\\

              = \frac{1}{2} \times 150 \\\\= 75^ \circ

4 0
3 years ago
60=F(15) <br><br> Please solve this and show work, please
Lubov Fominskaja [6]

Answer:

f = 4

Step-by-step explanation:

60= 15f

divide both side by 15

f = 4

3 0
3 years ago
Which polynomial expression are in standard form
postnew [5]

First and third, second can still be simplified.

7 0
3 years ago
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