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kakasveta [241]
3 years ago
11

Which expression is undefined? A. -8 divided by -8 B. -8 divided by 8 C. 0 divided by 8 D. 8 divided by 0

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
3 0

Answer:

I'll go with A

Step-by-step explanation:

well -8 got no divisor so yeah

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Show that √(1-cos A/1+cos A) =cosec A - cot A​
Gennadij [26K]

Hi there!

\sqrt{\frac{1-cosA}{1+cosA}} =

We can begin by multiplying by its conjugate:

\sqrt{\frac{1-cosA}{1+cosA}} * \sqrt{\frac{1+cosA}{1+cosA}}  = \\\\\sqrt{\frac{(1-cosA)(1 + cosA)}{(1+cosA)(1 + cosA)}} =

Simplify using the identity:

1 - cos^2A = sin^2A

\sqrt{\frac{(1-cos^2A)}{(1+cosA)^2}} =\\\\\sqrt{\frac{(sin^2A)}{(1+cosA)^2}} =

Take the square root of the expression:

{\frac{sinA}{1+cosA} =

Multiply again by the conjugate to get a SINGLE term in the denominator:

{\frac{sinA}{1+cosA} * {\frac{1-cosA}{1-cosA} =\\

Simplify:

{\frac{sinA(1-cosA)}{1-cos^2A} =

Use the above trig identity one more:

{\frac{sinA(1-cosA)}{sin^2A} =

Cancel out sinA:

{\frac{(1-cosA)}{sinA}  =

Split the fraction into two:

{\frac{1}{sinA}   - \frac{cosA}{sinA} =

Recall:

1/sinA = cscA\\\\cosA/sinA = cotA

Simplify:

\frac{1}{sinA} + \frac{cosA}{sinA} = \boxed{cscA - cotA}

5 0
2 years ago
If mÃc=170° Find mLB
kenny6666 [7]

Answer:

∠ B = 85°

Step-by-step explanation:

the inscribed angle B is half the measure of its intercepted arc AC , then

∠ B = \frac{1}{2} × 170° = 85°

8 0
2 years ago
List x1, x2, x3, x4 where xi is the left endpoint of the four equal intervals used to estimate the area under the curve of f(x)
n200080 [17]

Answer:

Option A. 4, 4.5, 5, 5.5

Step-by-step explanation:

Left point: a=x=4

Right point: b=x=6

Range: r=b-a→r=6-4→r=2

Width of each of the four equal intervals: w=2/4→w=0.5

The first left endpoint is x1=a→x1=4

The second left endpoint is x2=x1+w→x2=4+0.5→x2=4.5

The third left endpoint is x3=x2+w→x3=4.5+0.5→x3=5

The fourth left endpoint is x4=x3+w→x4=5+0.5→x4=5.5

Then, the list is: x1, x2, x3, x4 = 4, 4.5, 5, 5.5

4 0
3 years ago
Suzanne owns stock worth $2,400. She owes $5,200 in student loans, and $2,500 on a credit car. She owes $1,800 on a car that is
jekas [21]

Answer:

15,100

Step-by-step explanation:

because 5,200+2,500+8,000+1,800=17,500 which is how much she owes and what she has is 2,400 so 17,500- 2,400= 15,100 so her net worth is 15,100

3 0
3 years ago
What is the probability of rolling a die and it landing on a number less than 3?
snow_tiger [21]

Answer:

2/6 (33.33%)

Step-by-step explanation:

4 0
3 years ago
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