Question

60. If cosec - cote = mand coser
=m and cosec-oi = 1, prove that mon=1​

Answer 1

Answer:

Let, cosecA+cotA=m

Then

m

2

−1

m

2

+1

=

cosec

2

A+cot

2

A+2cosecA.cotA−1

cosec

2

A+cot

2

A+2cosecA.cotA+1

=

2cot

2

A+2cosecA.cotA

2cosec

2

A+2cosecA.cotA

[Since cosec

2

A−1=cot

2

A and 1+cot

2

A=cosec

2

A]

=

cotA

cosecA

=secA.........(1).

Now

m

2

+1

m

2

−1

=cosA [Using (1)]