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inn [45]
3 years ago
13

Use the circle unit to find sin 90 degrees

Mathematics
1 answer:
kati45 [8]3 years ago
4 0

Answer:

Sin 90°=1

Step-by-step explanation:

A unit circle is a circle with a radius of 1 .Because the radius is 1, it is possible to directly measure the sine, cosine and tangent.

<em>using the unit circle where 90° is the limit as the hypotenuse approaches the vertical y-axis which is positive.</em>

Sine=opposite/hypotenuse

Sin=O/H

<u>Applying the limits</u>

Sine 90°=1/1= 1

cos 90° =0/1 =0

or

When the angle formed at the origin of the unit circle in the 1st quadrant is 0°, cos 0°=1 sin0°=0  and tan 0°=0

When we increase the angle until it is 90°, cos 90°=0, sin 90°=1 and tan 90°=undefined

 

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olga nikolaevna [1]

Answer:

1680

Step-by-step explanation:

use L x W X H

6 0
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Write an algebraic expression to describe the combined number of posts for Jenny and Antonio after any given number of days
Charra [1.4K]
Suppose Jenny publishes X post per day, and Antonio publishes Y post per day.
So, the combined number of posts will be X+Y multiplied by the number of days.

For example, if the numbers of days is Z, Jenny and Antonio published Z(X+Y) posts.
3 0
3 years ago
What are the determinants for solving this linear system?<br> 5x + 3y = 17<br> −8x − 3y = 9
Ksivusya [100]
For this case we have the following system of equations:
 5x + 3y = 17
 -8x - 3y = 9
 We can rewrite the system like:
 Ax = b
 Where,
 A = [5   3; -8   -3]
 b = [17; 9]
 x = [x; y]
 The determinant of matrix A is given by:
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 Answer:
 
The determinant for solving this linear system is:
 
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3 0
3 years ago
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the third term and the fifth term of a geometric progression are 2 and 1/8 respectively. If all terms are positive, find the sum
loris [4]

Answer:

42 + 2/3

Step-by-step explanation:

First, to calculate the sum of an infinite geometric series, our formula is

a₁/(1-r), with a₁ being the first term of the series and r being the common ratio. Therefore, we want to find both a₁ and r.

To find r, we can first determine that 2 * r = a₄ and a₄ * r = a₅, as the ratio separates one number from the next in a geometric series. Therefore, we have

2 * r * r = a₅

2 * r² = 1/8

divide both sides by 2 to isolate the r²

r² = 1/16

square root both sides to isolate r

r =± 1/4. Note the ± because r²=1/16 regardless of whether r = 1/4 or -1/4. However, because all terms are positive, r must be positive as well, or a₄, for example, would be 2 * (-1/4) = -0.5

Therefore, r = 1/4 .

To find the first term, we know that a₁ * r = a₂, and a₂ * r = a₃. Therefore, a₁ * r² = a₃ = 2

a₁ * 1/16 = 2

divide both sides by 1/16 to isolate a₁

a₁ = 2 * 1/ (1/16)

= 2 * 16

= 32

Plugging a₁ and r into our infinite geometric series formula, we have

a₁/(1-r)

= 32  / (1-1/4)

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= 32/ 0.75

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3 0
3 years ago
Find an equation of the hyperbola having foci at (-9,-4) and (7,-4) and vertices at (-6, -4) and (4.-4).​
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Answer:

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Step-by-step explanation:

6 0
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