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3 years ago

How do you verify this trig identity?

Mathematics

2 answers:

fiasKO [112]3 years ago

7 0

Answer:

Step-by-step explanation:

\frac{ \sin(x) \csc(x) }{ \cot(x) }

cot(x)

sin(x)csc(x)

Rewrite csc(x) in terms of sin

\frac{ \sin(x) \frac{1}{ \sin(x) } }{ \cot(x) }

cot(x)

sin(x)

Multiply the numerator. Notice that the factors in the numerator are reciprocal so they will factor out to 1.

\frac{1}{ \cot(x) }

cot(x)

Notice that cotangent and tan are reciprocal so

\tan(x) = \tan(x)tan(x)=tan(x)

myrzilka [38]3 years ago

3 0

Step-by-step explanation:

$\frac{ \sin(x) \csc(x) }{ \cot(x) }$

Rewrite csc(x) in terms of sin

$\frac{ \sin(x) \frac{1}{ \sin(x) } }{ \cot(x) }$

Multiply the numerator. Notice that the factors in the numerator are reciprocal so they will factor out to 1.

$\frac{1}{ \cot(x) }$

Notice that cotangent and tan are reciprocal so

$\tan(x) = \tan(x)$

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Georgia has a budget of $8 for a new notebook. She wants to spend within $5 of her budget, so she uses the equation 5 = |8 – x|

siniylev [52]

Answer:

Minimum: 3

Maximum: 13

Step-by-step explanation:

Georgia uses the equation

5 = |8 – x| to find the maximum and minimum values.

We solve the equation for x.

$5 = |8 - x|$

By the definition of the absolute value function, we must have:

$- 5 = 8 - x \: or \: 5 = 8 - x$

We subtract 8 from both sides to get:

$- 5 - 8 = - x \: or \: 5 - 8 = - x$

$- 13 = - x \: or \: - 3 = - x$

This simplifies to:

$13 = x \: or \: 3 = x$

Therefore the minimum value is 3 and maximum is 13

5 0

3 years ago

4 1/2 ounces per 3/4 miles _____ ounces per 1 mile

adelina 88 [10]

Answer: 6

Step-by-step explanation:

To get 3/4 miles to 1 mile we must take the reciprocal of the number and multiply it.

$\frac{3}{4}$ × $\frac{4}{3} =1$

We need to multiply the 4 1/2 ounces by 4/3 too

$4\frac{1}{2}$ × $\frac{4}{3} =6$

4 1/2 ounces per 3/4 miles

6 ounces per 1 mile

5 0

3 years ago

Read 2 more answers

The stock market dropped 220 points on Monday. It lost another 48 points on Tuesday, and on Wednesday, it gained 96 points. What

Leona [35]

Answer: 48 points gained in those 3 days.

Subtract 220 with 48, then add 96. Last step would be subtracting 220 with the amount they have now in those 3 days to find how much points the stock market gained in those 3 days.

Subtract 220-48.It‘ll be 172.

Add 172 with 96. 172+96=268.

Subtract 268 with how much points the stock market had 3 days ago. 268-220. So it would be about 48 points gained.

7 0

3 years ago

What is the mean? Round to one decimal place. 1,6,2,7,9

Viefleur [7K]

Answer:

Step-by-step explanation:

The mean represents an average of all the numbers, so we have $\frac{sum-of-all-numbers}{total-amount-of-numbers}$ . Although that may seem confusing, it's actually pretty easy.