Question

Root over 1+cosA/1-cosA = cosecA+cotA then A lies in which quadrant

Answer 1

Answer:

Step-by-step explanation:

ANSWER

1−cosA

1+cosA

​  

 

​  

=  

(1−cosA)(1+cosA)

(1+cosA)  

2

 

​  

 

​  

 

=  

sin  

2

A

(1+cosA)  

2

 

​  

 

​  

 

=  

(cosecA+cotA)  

2

 

​  

 

=∣cosecA+cotA∣

=cosecA+cotA (as given)

let cosecA + cotA = x

so we get |x| = x

this is possible only when x ⩾ 0

so cosecA + cotA ⩾ 0

this means that sinA > 0

this is possible only in first and second quadrants