How much is 5 divided by 4.9

Mnenie [13.5K]

By using properties for trigonometric functions and trigonometric expressions, we find that the exact value of the sine of the angle 5π/12 radians is $\frac{\sqrt{2+\sqrt{3}}}{2}$ .

<h3>How to find the exact value of a trigonometric expression</h3>

Trigonometric functions are trascendent functions, these are, that cannot be described algebraically. Herein we must utilize trigonometric formulae to calculate the exact value of a trigonometric function:

$\sin \frac{5\pi}{12} = \sqrt{\frac{1 - \cos \frac{5\pi}{6} }{2} }$

$\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \cos \frac{\pi}{6} }{2} }$

$\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \frac{\sqrt{3}}{2} }{2} }$

$\sin \frac{5\pi}{12} = \sqrt{\frac{2+\sqrt{3}}{4} }$

$\sin \frac{5\pi}{12} = \frac{\sqrt{2+\sqrt{3}}}{2}$

By using properties for trigonometric functions and trigonometric expressions, we find that the exact value of the sine of the angle 5π/12 radians is $\frac{\sqrt{2+\sqrt{3}}}{2}$ .

To learn more on trigonometric functions: brainly.com/question/15706158

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7 0

1 year ago

A cone has a volume of 12 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?

Stells [14]

36in^3
as the volume of a cone is 1/3 that of the volume of a cylinder the smallest cylinder that the cone can fit inside of is one that is exactly 3x its the volume

5 0

3 years ago

Read 2 more answers

Triangle 1 has vertices at (A, B), (C, D), and (E, F). Triangle 2 has vertices at (A,-B), (C,-D), and (E,-F). What can you concl

almond37 [142]

Answer:

Triangle 2 is a transformation from Triangle 1, and has been reflected across the x-axis.

Step-by-step explanation:

We can conclude that Triangle 2 is a reflection across the x-axis because the x values stayed the same but the y values are negative.

In a reflection across the x-axis, the x values will stay the same. But, since it is flipped across the x-axis, the y values will become negative.

So, Triangle 2 is a reflection across the x-axis.

7 0

3 years ago

Identify the constant of proportionality in the following graphs: Plz help

Sedbober [7]

Answer:

its proportionality

Step-by-step explanation:

8 0

3 years ago

A 500-foot cable is attached to the top of a tower and is stretched tight to a point that is 350 feet away from the base of the

Fantom [35]

The angle of depression the cable forms is the arctan of the ratio of the

horizontal distance to the height of the tower which is approximately 35°.

Response:

B. 35°

<h3>Which method can be used to find the angle of depression?</h3>

Given:

Height of the tower = 500-feet

Horizontal distance from the (other) point of attachment of the cable to

the base of the tower = 350-feet.

Required:

The angle of depression formed by the cable.

Solution:

The angle of depression is the angle, θ, the cable forms with the tower

from the top of the tower.

By trigonometric ratios, therefore;

$tan(\theta) = \mathbf{\dfrac{Horizontal \ distance \ of \ cable \ from \ tower}{Height\ of \ tower}}$

Which gives;

$tan(\theta) = \dfrac{350}{500} = \dfrac{7}{10}$

$Angle \ of \ depression, \ \theta = \mathbf{ arctan \left(\dfrac{7}{10} \right) }\approx35^{\circ}$

The best correct option is; B. 35°

Learn more about trigonometric ratios here:

brainly.com/question/13276558

8 0

2 years ago

How much is 5 divided by 4.9​

How much is 5 divided by 4.9