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2 years ago

The length of which line segment is equal to the exact value of the sine if theta?

Mathematics

1 answer:

Ainat [17]2 years ago

4 0

<h3>Answer: Option 2. Segment TS</h3>

====================================================

Explanation:

Recall that the sine of an angle is equal to the ratio of opposite over hypotenuse.

In other words,

sin(angle) = opposite/hypotenuse

With respect to reference angle theta, the side TS is opposite this angle. It is the leg furthest from the angle. The hypotenuse is the longest side segment TO. The hypotenuse is always opposite the 90 degree angle.

For a unit circle, the radius is 1, so segment TO is 1 unit long.

Therefore,

sin(angle) = opposite/hypotenuse

sin(theta) = TS/TO

sin(theta) = TS/1

sin(theta) = TS

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3 years ago

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Answer:

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3 years ago

Read 2 more answers

How many times larger is the value of the digit 3 in 832,719 than the digit 3 in 824,319?

Leokris [45]

Answer:

100 times larger

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3 years ago

Pre image ABCD was dilated to be image A’B’C’D, where the center of dilation is the origin. What scale factor was used in the di

ArbitrLikvidat [17]

Answer:

The scale factor is 0.25

Step-by-step explanation:

we know that

The dilation is a non-rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In this problem

ABCD and A'B'C'D' are similar

therefore

$\frac{A'B'}{AB}=\frac{B'C'}{BC}=\frac{C'D'}{CD}=\frac{A'D'}{AD}$

Find the scale factor

Looking at the graph

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$A'B'=1\ unit\\AB=4\ units$

Let

z ---> the scale factor

$z=\frac{A'B'}{AB}$

substitute the values

$z=\frac{1'}{4}=0.25$

8 0

3 years ago