Question

If (cosec A+ cot A) = m then prove that m² 4 = cos 0.​

Answer 1

Step-by-step explanation:

Let, cosecA+cotA=m

Then 

m2−1m2+1

=cosec2A+cot2A+2cosecA.cotA−1cosec2A+cot2A+2cosecA.cotA+1

=2cot2A+2cosecA.cotA2cosec2A+2cosecA.cotA [Since cosec2A−1=cot2A and 1+cot2A=cosec2A]

=cotAcosecA=secA..(1).

Now 

m2+1m2−1=cosA [Using (1)]