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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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AB=10,BC=6. What is AC

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Answer:

Step-by-step explanation:

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How would you write .54545454... (Repeating) as a fraction? Please explain the process!

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3 years ago

Consider the two expressions 4b(b+1) and (2b+7)(2b-8). Compare their values if b=-3, b=-2, and if b=10. Is it true that for an v

frutty [35]

Answer:

FIRST EXPRESSION:

- If $b=-3$ , the value of $4b(b+1)$ is $24$

- If $b=-2$ , the value of $4b(b+1)$ is $8$

- If $b=10$ , the value of $4b(b+1)$ is $440$

SECOND EXPRESSION:

- If $b=-3$ , the value of $(2b+7)(2b-8))$ is $-14$

- If $b=-2$ , the value of $(2b+7)(2b-8))$ is $-36$

- If $b=10$ , the value of $(2b+7)(2b-8))$ is $324$

Yes, for any value of "b" the value of the first expression is greater than the value of the second expression.

Step-by-step explanation:

Substitute the given values of "b" into each expression and evaluate.

- For the first expression $4b(b+1)$ , you get:

If $b=-3$ → $4(-3)(-3+1)=24$

If $b=-2$ → $4(-2)(-2+1)=8$

If $b=10$ → $4(10)(10+1)=440$

- For the second expression $(2b+7)(2b-8))$ , you get:

If $b=-3$ → $(2(-3)+7)(2(-3)-8)=-14$

If $b=-2$ → $(2(-2)+7)(2(-2)-8)=-36$

If $b=10$ → $(2(10)+7)(2(10)-8)=324$

You can observe that for any value of "b" the value of the first expression is greater than the value of the second expression.

7 0

3 years ago

Jenny bought a 5 notebooks and 2 pencils, and the total was 9 dollars.

weeeeeb [17]

You would solve this with simultaneous equations, so if we write it as:
5n + 2p = 9
3n + 2p = 6
(subtract)
2n = 3
÷ 2
notebooks = 1.5

Now you would substitute it in:
(3 × 1.5) + 2p = 6
4.5 + 2p = 6
- 4.5
2p = 1.5
÷ 2
pens = 0.75

So your final answer is notebooks are $1.50 and pens are $0.75, I hope this helps!

6 0

3 years ago