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Brut [27]
3 years ago
7

Please prove the following trigonometric identity.​

Mathematics
1 answer:
Brums [2.3K]3 years ago
3 0

Step-by-step explanation:

solution:- from LHS 1-cos²x/sinx

∵ 1-cos²x = sin²x

∴ sin²x /sinx = sinx

from RHS tanx × cosx

∵tanx = sinx×cosx

∴ sinx/ cosx × cosx = sinx

Since, LHS = RHS proved ___

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A fair die is tossed 5 times. Let <img src="https://tex.z-dn.net/?f=%5Cdfrac%7Bm%7D%7Bn%7D" id="TexFormula1" title="\dfrac{m}{n}
Ray Of Light [21]

Answer:

m = 1

Step-by-step explanation:

We can suppose that the number we are looking for is for example 5.

(we can do so because the probability is the same for each number - it'sna fair dice)

For the first toss the probability we have 5 is 1/6 (we have 6 numbers on the dice and number 5 is just one of the possible 6 outcomes).

For the second toss the probability we have 5 is again 1/6.

For the rest of 3 tosses we don'tcare what number we will get( we have our two consecutive 5s), so all of the outcomes for the rest of 3 tosses are good for us (probability is 6/6 = 1)

Threfore, the probability to get two consecutive 5s is 1/6 * 1/6 * 1 * 1 * 1 = 1/36.

We can see that m = 1.

4 0
3 years ago
10
schepotkina [342]

Answer:

3.56 cm.

Step-by-step explanation:

1/3 π r^2 h = V

1/3 π (5.13)^2 h  = 98

h = 98 / (1/3 π (5.13)^2)

=  98 / 27.55899

= 3.556.

3 0
3 years ago
Andrea is selling candles for a fundraiser. She spent $50 on supplies for making the candles. She plans to sell the
Debora [2.8K]
The independent variable would be the Candles she sells for $10
3 0
3 years ago
Got it wrong plss help and explain
Karolina [17]
Because it says "not black" we would do white marbles
There are 15 white marbles and a total of 20
So the fraction of white marbles to total would be 15/20

Because the answer is wanted as a decimal divide 15 by 20
15/20=.75

There is a .75 chance that she will not draw a black marble
8 0
3 years ago
Find an<br> equivalent ratio in simplest terms:<br> 22 : 56
cupoosta [38]

Answer: 11:23

Step-by-step explanation: because that is the simplest terms

8 0
4 years ago
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