Question

cosecA-cotA=5 thes A lies in which quadrant ???? answer it if u have brain​

Answer 1

Answer:

A lies in all quadrants. it's balance lies in the upper two quadrants that is (-x,y) and (X,y). it is equal to about

x≈2.74680153+2πn for any integer n.

Answer 2

'A' will lie in second quadrant.

Explanation :

cosecA-cotA=5.....eq 1

cosec²A - cot²A=1

( cosecA + cotA)(cosecA - cotA) = 1

so,

$cosecA - cotA = \frac{1}{ cosecA + cotA}$

5 ( cosecA + cotA) = 1

cosecA + cotA = 1/5.....eq 2

ADD eq 1 and 2

cosecA - cotA=5

cosecA + cotA=1/5

=> 2cosec A = 26/5

=> cosec A = 26/10 = 13/5

=> son A = 1/cosec = 5/13

Now, we have sin A = 5/13

sin A is positive. This means that A lies in either First or Second Quadrant.

We can find cot A easily to check which quadrant A lies in.

putting value of cosec A in eq 2.

cosecA + cotA = 1/5

$\frac{13}{5} + cot \: A = \frac{1}{5} \\ \frac{13 + 5cot A }{5} = \frac{1}{5} \\ 13 + 5cot A = 1 \\ cot A = \frac{ - 12}{5}$

Now, cot A is negative. So A can either be in Second or Fourth Quadrant.

But, as sin A is also positive , A must lie in Second Quadrant.

HOPE IT HELPS !!

MARK BRAINLIEST !!