Question

Sec²A
cosec
A (tan AtcoTZA)​

Answer 1

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Answer 2

Answer:

Explanation: We know that:

sec²x = 1 + tan²x

And

cosec²x = 1 + cot²x 

And

tan x .cot x = 1 

Solution:-

Taking LHS..

= √(sec²A + cosec²A) 

= √ { (1 + tan²A) + ( 1 + cot²A) } 

= √ ( tan²A + cot²A + 2)

= √  ( tan²A  + cot²A + 2 tan A .cot A ) 

Using 

(a² + b² +2ab) = (a + b)²

= √(tan A + cot A)²

= tan A + cot A = RHS

Hence;

Proved √ (sec²A+cosec²A) = tan A + cot A 

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