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3 years ago

Which expression completes the identity cos u sin v = ?

Mathematics

1 answer:

Lilit [14]3 years ago

4 0

The product of trigonometric functions can be converted into sum ans vice versa. The given function is a product and we can convert it to a sum.One way is to expand the given expression and simplify it to find the result.

The second and easier option is to just remember the formulas of product to sum conversion identities. The 4 formulas for this case are listed below in the image.

Since we have the product of cos and sin, the sum will involve two sine functions connected by addition.

So the correct answer is option A

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The diagram shows the curve with equation y = ( 1 + x ) cosx.

r-ruslan [8.4K]

Answer:

y = 1, 1.319, 1.024, 0

Step-by-step explanation:

Given equation:

$y=(1+x)\cos x$

$\textsf{when}\:x=0:$

$\begin{aligned} \implies y & =(1+0)\cos 0\\\implies y & = 1\end{aligned}$

$\textsf{when}\:x=\dfrac{\pi}{6}:$

$\begin{aligned} \implies y & =\left(1+\frac{\pi}{6}\right)\cos \left(\frac{\pi}{6}\right)\\\implies y & = 1.319\: \sf (3\:dp)\end{aligned}$

$\textsf{when}\:x=\dfrac{\pi}{3}:$

$\begin{aligned} \implies y & =\left(1+\frac{\pi}{3}\right)\cos \left(\frac{\pi}{3}\right)\\\implies y & = 1.024\: \sf (3\:dp)\end{aligned}$

$\textsf{when}\:x=\dfrac{\pi}{2}:$

$\begin{aligned} \implies y & =\left(1+\frac{\pi}{2}\right)\cos \left(\frac{\pi}{2}\right)\\\implies y & = 0\end{aligned}$

8 0

2 years ago

A man's basic wage for a 40-hour week

Mashcka [7]

Answer:

467.50

Step-by-step explanation:

do 61.5 times 5 to get 307.5 and add to 160 to get 467.50

6 0

3 years ago

Read 2 more answers

1. Name three examples of each of the types of properties of matter:

uysha [10]

Intensive properties and extensive properties are types of physical properties of matter. The terms intensive and extensive were first described by physical chemist and physicist Richard C. Tolman in 1917. Here's a look at what intensive and extensive properties are, examples of them, and how to tell them apart.

Intensive Properties

Intensive properties are bulk properties, which means they do not depend on the amount of matter that is present. Examples of intensive properties include:

Boiling point

Density

State of matter

Color

Melting point

Odor

Temperature

Refractive Index

Luster

Hardness

Ductility

Malleability

Intensive properties can be used to help identify a sample because these characteristics do not depend on the amount of sample, nor do they change according to conditions.

Extensive Properties

Extensive properties do depend on the amount of matter that is present. An extensive property is considered additive for subsystems. Examples of extensive properties include:

Volume

Mass

Size

Weight

Length

The ratio between two extensive properties is an intensive property. For example, mass and volume are extensive properties, but their ratio (density) is an intensive property of matter.

While extensive properties are great for describing a sample, they aren't very helpful identifying it because they can change according to sample size or conditions.

Way to Tell Intensive and Extensive Properties Apart

One easy way to tell whether a physical property is intensive or extensive is to take two identical samples of a substance and put them together. If this doubles the property (e.g., twice the mass, twice as long), it's an extensive property. If the property is unchanged by altering the sample size, it's an intensive property.

6 0

3 years ago

Please help asap! giving brainliest for those who help!!

dsp73

Answer:

I think this is right:

50:50

5/10

0.5

50%

Step-by-step explanation:

6 0

3 years ago

Which of the following relations is a function?

spin [16.1K]

D, sense there are no repeating numbers in the input (Y)

4 0

3 years ago