Answer: ![csc(t)](https://tex.z-dn.net/?f=csc%28t%29)
Step-by-step explanation:
Alright, lets get started.
The given expression is given as :
![cot( t) \times sec (t)](https://tex.z-dn.net/?f=cot%28%20t%29%20%5Ctimes%20sec%20%28t%29)
We know quotient identity as :
![cot(t)=\frac{cos(t)}{sin(t)}](https://tex.z-dn.net/?f=cot%28t%29%3D%5Cfrac%7Bcos%28t%29%7D%7Bsin%28t%29%7D)
Similarly, we know reciprocal identity as :
![sec(t)=\frac{1}{cos(t)}](https://tex.z-dn.net/?f=sec%28t%29%3D%5Cfrac%7B1%7D%7Bcos%28t%29%7D)
lets plug the value of cot and sec in given expression
![\frac{cos(t)}{sin(t)} \times \frac{1}{cos(t)}](https://tex.z-dn.net/?f=%5Cfrac%7Bcos%28t%29%7D%7Bsin%28t%29%7D%20%20%5Ctimes%20%5Cfrac%7B1%7D%7Bcos%28t%29%7D)
cos will be cancelled, remaining will be
![\frac{1}{sin(t)}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bsin%28t%29%7D)
Using reciprocal identity again, that will equal to :
................... Answer (A)
The solution to the answer is as follows:
<span>0votes</span><span>answered <span>Aug 8, 2015 </span><span><span>by </span>Shashi Kumar Evangelist <span>(3,082<span> points)</span></span></span></span><span>total coins 30
1 rupee coins 20
50 paise coins 10
1 rupee coin probability 20C11
11 coin are picked 30C11
<span>ans should be = 20C11/30C11 = 2/3</span></span>
I hope my answer has come to your help. God bless and have a nice day ahead!
Answer:
6,000
Step-by-step explanation:
because it is a less amount of numbers to get to 6,000 than to get to 5,00
Answer:
y = 14
Step-by-step explanation:
![y = 5x + 4](https://tex.z-dn.net/?f=y%20%3D%205x%20%2B%204)
When x = 2:
![y = 5 \times 2 + 4](https://tex.z-dn.net/?f=y%20%3D%205%20%5Ctimes%202%20%2B%204)
![y = 14](https://tex.z-dn.net/?f=y%20%3D%2014)
That's it. :)
Answer: 103, 104, 105, and 106
Step-by-step explanation: This problem states that the sum of 4 consecutive integers is 418 and it asks us to find the integers.
First represent your 4 consecutive integers as follows.
X ⇒ first integer
X + 1 ⇒ second integer
X + 2 ⇒ third integer
X + 3 ⇒ fourth integer
Since their sum is 418, our equation reads
x + (x + 1) + (x + 2) + (x + 3) = 418.
Simplifying on the left side we get 4x + 6 = 418.
Now we can subtract 6 from both sides of the equation and we have
4x = 412.
Now just divide both sides by 4 and we find that <em>x = 103</em>.
Finally, make sure you list all your answers.
If <em>x</em> is 103, then <em>x </em>+ 1 is 104, <em>x</em> + 2 is 105, and <em>x</em> + 3 is 106
Therefore, our 3 consecutive integers are 103, 104, 105, and 106.