If $A+B=225^{\circ}$, then $\frac{\cot A}{1+\cot A} \cdot \frac{\cot B}{1+\cot B}$ is equal to
55 Views
0 Votes

If $A+B=225^{\circ}$, then $\frac{\cot A}{1+\cot A} \cdot \frac{\cot B}{1+\cot B}$ is equal to

(A) 1

(B) -1

(C) 0

(D) $1 / 2$

1 Answer

0 Votes
 
Best answer

SOLUTION —

$\frac{\cot A}{1+\cot A} \cdot \frac{\cot B}{1+\cot B}$

$ =\frac{1}{(1+\tan A)(1+\tan B)}$

$=\frac{1}{\tan A+\tan B+1+\tan A \tan B}$

$ =\frac{1}{2}$

So, The correct option will be (D).

RELATED DOUBTS

1 Answer
0 Votes
21 Views
1 Answer
0 Votes
24 Views
1 Answer
0 Votes
23 Views
1 Answer
0 Votes
50 Views
1 Answer
0 Votes
75 Views
1 Answer
0 Votes
314 Views
1 Answer
0 Votes
83 Views
1 Answer
0 Votes
79 Views
Peddia is an Online Question and Answer Website, That Helps You To Prepare India's All States Boards & Competitive Exams Like IIT-JEE, NEET, AIIMS, AIPMT, SSC, BANKING, BSEB, UP Board, RBSE, HPBOSE, MPBSE, CBSE & Other General Exams.
If You Have Any Query/Suggestion Regarding This Website or Post, Please Contact Us On : [email protected]
Total Visitors :

CATEGORIES