Question

cotA+cosecA-1/cotA-cosecA+1 = 1+cosA/sin A​

Answer 1

Answer:

cotA+cosecA−1

=

sinA

1+cosA

=

cotA−cosecA+1

cotA+cosecA−(cosec

2

A−cot

2

A)

[∵cosec

2

A−cot

2

A=1]

=

cotA−cosecA+1

(cotA+cosecA)−(cotA+cosecA)(cosecA−cotA)

=

cotA−cosecA+1

(cotA+cosecA)(1−cosecA+cotA)

=

sinA

cosA

=

sinA

1

=

sinA

cosA+1

=

sinA

1+cosA

=RHS

Step-by-step explanation:

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