sinA can be expressed in terms of cotA as:

1/(√cosec²A)

= 1/√(1 + cot²A)

Now,

Sec can be expressed in terms of cot A as:

secA = √sec²A

= √(1 + tan²A)

= √[1 + (1/cot²A)]

= √[(1 + cot²A)/cot²A]

= [√(1 + cot²A)]/cotA

And,

TanA can be expressed in terms of cotA as:

tanA =