Express the trigonometric ratios sin A, sec A and tan A in terms of cot A

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 =

21