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Verizon [17]
3 years ago
15

What is the exact value of sin(π/6) and tan(π/4)?

Mathematics
2 answers:
g100num [7]3 years ago
3 0
Sin (pi/6) = 1/2
Tan (pi/4) is 1.
If you need to know why, leave me a comment!
malfutka [58]3 years ago
3 0

Answer:

The exact value of Sin(\frac{\pi}{6} )=\frac{1}{2} and   tan(\frac{\pi}{4})=1

Step-by-step explanation:

Consider the Special right angle  30^{\circ} - 60^{\circ} -90^{\circ} triangle as shown in the attachment.

The ratio of its sides are 1:\sqrt{3}:2 as shown in figure. The smallest side, opposite the 30^{\circ} angle, is 1. The side opposite the angle  60^{\circ} is \sqrt{3}. The longest side, i.e the hypotenuse is  2.

Therefore, any triangle of 30^{\circ} - 60^{\circ} -90^{\circ} will have its side in their ratios.

To find the exact value of Sin(\frac{\pi}{6}).

By definition;

Sine=\frac{Perpendicular}{Hypotenuse}

From the figure and by definition of sine:

Sin(\frac{\pi}{6} )=\frac{1}{2}

Therefore, the exact value of Sin(\frac{\pi}{6} )=\frac{1}{2}.

Now, to find the exact value of tan(\frac{\pi}{4})

For this , we have special right angle 45^{\circ}-45^{\circ}-90^{\circ} triangle, as shown in the attachment.

The ratio of its sides are 1:1:\sqrt{2}.

By definition of tangent,

tan=\frac{Perpendicular}{Base}

From the figure, we have

tan(\frac{\pi}{4}) =\frac{1}{1} =1

Therefore, the exact value of tan(\frac{\pi}{4})=1

   


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kirill115 [55]

Answer:

  1. <u>BOX 1 </u>=  672.00

(14 * 12 = 168

168 * 4 = $ 672 )

     2. <u>BOX 2</u> = 282.95

(Cell phone= $45 A MONTH

Eating outside = $50 A MONTH

12 .50 * 4   = 50   (4 WEEKS A MONTH )

Transportation =  131.2 A MONTH

32.80 * 4 = 131.2  (4 WEEKS A MONTH )

Movie =  $16.75 A MONTH

Charity = $ 40 A MONTH

10 * 4  (4 WEEKS A MONTH )

<u> MONTHLY EXPENSE </u> = 45 + 50 + 131.2 + 16.75 + 40

<u> MONTHLY EXPENSE </u> = 282.95 )

      3. <u>BOX 3</u> = 389.05

Money that can be saved = Monthly income - Monthly expense

Money that can be saved = 672 -  282.95

                                          = 389.05

<h2><em><u>please give brainliest </u></em></h2>
4 0
3 years ago
a thermometer measures temperature to the nearest 0.5 degrees celsius which measurement shows an appropriate level of precision
Alja [10]

The temperature which has best degree of precision would actually be the temperature reading which has similar decimal place with the error. So the best answer would have 1 decimal and from the choices given above, this would be:

 

16.0°C

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4 0
3 years ago
Please help. I need it. Bad.
Murljashka [212]

Answer:

Option a.

Step-by-step explanation:

In the given triangle angle A is a right angle so triangle ABC is a right angled triangle.

Opposite side of right angle is hypotenuse. So, CB is hypotenuse.

From figure it is clear that CA is shorter that segment BA.

All angles are congruent to itself. So angle C is congruent to itself.

We know that, if an altitude is drawn from the right angle vertex in a right angle triangle it divide the triangle in two right angle triangles, then given triangle is similar to both new triangles.

So, triangle ABC is similar to triangle DBA if segment AD is an altitude of triangle ABC.

Therefore, the correct option is a.

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20as%20%5C%3A%20a%20%5C%3A%20dicimal%20%5C%3A%20%5Cfrac%7B11%7D%7B40%7D%20%20%3D%200.275%20%5
kakasveta [241]

Answer:

0.0825

Step-by-step explanation:

33/400=0.0825

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iris [78.8K]

Answer:

to seperate

Step-by-step explanation:

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