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Over [174]
3 years ago
11

How do you prove: csc^[email pro

tected]^[email protected] = csc^[email protected] -1
Mathematics
2 answers:
Elina [12.6K]3 years ago
6 0
cscx=\frac{1}{sinx};\ sin^2x+cos^2x=1\to cos^2x=1-sin^2x\\----------------------------\\\\csc^2xcos^2x=csc^2x-1\\\\L=csc^2xcos^2x=\frac{1}{sin^2x}\cdot cos^2x=\frac{cos^2x}{sin^2x}\\\\R=csc^2x-1=\frac{1}{sin^2x}-1=\frac{1}{sin^2x}-\frac{sin^2}{sin^2x}=\frac{1-sin^2x}{sin^2x}=\frac{cos^2x}{sin^2x}\\\\\boxed{L=R}
sertanlavr [38]3 years ago
4 0
LHS\\ \\ ={ cosec }^{ 2 }\theta { cos }^{ 2 }\theta \\ \\ ={ cosec }^{ 2 }\theta \left( 1-{ sin }^{ 2 }\theta  \right)

\\ \\ ={ cosec }^{ 2 }\theta -{ cosec }^{ 2 }\theta { sin }^{ 2 }\theta \\ \\ ={ cosec }^{ 2 }\theta -\frac { 1 }{ { sin }^{ 2 }\theta  } \cdot { sin }^{ 2 }\theta

\\ \\ ={ cosec }^{ 2 }\theta -1\\ \\ =RHS
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Paul's mom gave him $25.00 on Monday morning to use on lunches. At his school, the school lunch costs $1.50, which he bought
Aleks04 [339]

Answer:

C. $12.60

Step-by-step explanation:

he has $25.00 for the whole week

monday through thursday, or four days, he buys school lunch for $1.50

1.5 x 4 = 6

on friday, he buys 4 slices of pizza for $1.60 per slice

4 x 1.6 = 6.4

Expenses together:

6.4 + 6 = 12.4

Find what he has left:

25-12.4 = 12.6

C. $12.60

6 0
2 years ago
259 Students go on a field trip. There are 19 vehicles, some vans and some buses.
Sunny_sXe [5.5K]

Answer:

12 vans

7 Buses

Step-by-step explanation:

I tried multiple versions but I finally got it right.

Since the buses can hold 25 students at a time I multiplied it by 7.

7 x 25 = 175

Then you'll need to find the remainder.

259-175 = 84

This number would be used to find the students going in the van

84/7= 12

So in total there would be 12 vans

and 7 buses

I hope this helps

5 0
3 years ago
Find the coordinates of the midpoint of the segment with endpoints A(-5, 6) and B(3, 2). You must show all work in order to rece
OLga [1]
Midpoint Formula = M = ( \frac{ x_{1}+x_{2}}{2}) + ( \frac{ y_{1} + y_{2}} {2})

We are given the coordinates: A(-5,6) and B(3,2)
Plug the values into the equation to get:
M = ((3 - 5)/2, (2 + 6)/2)
Now, just solve it down to get M = (-1,4).

The midpoint of the segment with endpoints A(-5,6) and B (3,2) is (-1,4). Hope this helps ALot and have a wonderful day!
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3 years ago
Which of the following expressions could you use to estimate 47% of 89?
Orlov [11]

Answer:

The last choice

Step-by-step explanation:

0.47 times 89

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4 0
3 years ago
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