Question

Cosec2A-cot2A=1
Express the trigonometric ratio's sin A,sec A and tana in terms of cot A

Answer 1

Step-by-step explanation:

cosec2 A - cot2 A = 1, cosec2A=1+cot2A , so cosec A=√(1+cot2A)

Therefore,

Now,

Sec A can be expressed in terms of cot A as:

We know that: sec2 A - tan2 A = 1, sec A = √(1 + tan2 A)

And also, tan A = 1/ cot ATherefore,

tanA can be expressed in terms of cotA as:

tanA =1/cotA

Answer 2

Answer:

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Step-by-step explanation:

Sin A= 1/cosec A

√1/cosec² A

√1/1+cot² A

1/√1+cot² A

sec A= √sec² A

√1+tan² A

√1+1/cot² A

√cot² A+1/cot²A

√1+cot²A/cot²A

$\sqrt{1 + \cot^{2} } a$

_________________

cot A

tan A = 1/cot A