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2 years ago

Verify (2cos2x)/(sin2x) =cotx - tanx

1 answer:

6 0

Cos2x = (cosx)^2 - (sinx)^2;
sin2x = 2sinxcosx;
Then, (2cos2x)/(sin2x) =2[ (cosx)^2 - (sinx)^2 ] / (2sinxcosx) = [ (cosx)^2 - (sinx)^2 ] / (sinxcosx) = (cosx)^2 / (sinxcosx) - (sinx)^2 / (sinxcosx) = cosx/sinx - sinx/cosx = cotx - tanx;

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\begin{aligned} 4{,}570=& 4 \text{ thousands} + 5 \text{ hundreds} + 7 \text{ tens} \\\\ 4{,}570=& 3 \text{ thousands} +

iris [78.8K]

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2 years ago

Match each graph to the equation of its line.

miskamm [114]

Answer:

the first graph is y=4x-4

the second is y=x+2

the third is y=-2x-4

the fourth is y=-x+2

Step-by-step explanation:

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2 years ago

Read 2 more answers

A shopper at a local supermarket spent the following amounts in her last eight trips to the store: $32.92 $14.14 $30.80 $28.34 $

alexdok [17]

Answer:

$75.58

The amount spent of $75.58 is most likely an outlier

Step-by-step explanation:

An outliers are unusual values in a dataset, they are data values that are extremely higher or extremely lower when compared to the other values in a data (data points that are far from other data points)

For the case above, give a dataset;

$32.92 $14.14 $30.80 $28.34 $75.58 $36.33 $33.51 $22.94

$75.58 is extremely far from other value. So $75.58 is an outlier in the given dataset.

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2 years ago

Which algebraic expression represents the word expression "three times the square of a number, n, subtracted from 54"?

sveta [45]

Answer:

54 - 3n²

Step-by-step explanation:

Square of a number n = n²

Three times the square of n = 3*n² = 3n²

Expression:

54 - 3n²

3 0

2 years ago

Find the value of 5(a-4b) when a =-7 and b=1/4

tatiyna

Answer:

- 40

Step-by-step explanation:

$5(a - 4b) \\ = 5 \bigg(- 7 - 4 \times \frac{1}{4} \bigg ) \\ = 5 \bigg(- 7 - 1 \bigg ) \\ = 5 \times ( - 8) \\ = - 40$

3 0

3 years ago