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What is the correct sequence of the foll...

What is the correct sequence of the following values ?
1. `sin((pi)/(12))`
2. `cos((pi)/(12))`
3. `cot((pi)/(12))`
Select the correct answer using the code given below

A

`3gt2gt1`

B

`1gt2gt3`

C

`1gt3gt2`

D

`3gt1gt2`

Text Solution

Verified by Experts

The correct Answer is:
A
We work out the given statements .
1. `"sin"(pi)/(12)=sin15^(@)=(sqrt(3)-1)/(2sqrt(2))`
2. `"cos"(pi)/(12)=cos15^(@)=(sqrt(3)+1)/(2sqrt(2))`
3. `"cot"(pi)/(12)=cot15^(@)=2+sqrt(3)`
So , correct sequence is `3gt2gt1`.
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