Question

14. If sin A = 1 .
find the value of cot A.
​

Answer 1

Given : sin A = 1 .

To Find : Value of cot A

Solution:

sin A = 1 .

Sin²A + Cos²A = 1

=> 1² + Cos²A = 1

=> 1 +  Cos²A = 1

=>  Cos²A = 0

=> CosA = 0

cot A = CosA/SinA

=> cotA = 0/1

=> cot A = 0

value of cot A. = 0 if sinA = 1

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Answer 2

SOLUTION

GIVEN

sin A = 1

TO DETERMINE

The value of cot A

EVALUATION

Here it is given that

$\sf{ \sin A = 1 }$

$\sf{ \implies \sin A = \sin {90}^{ \circ} }$

$\sf{ \implies A = {90}^{ \circ} }$

Hence

$\sf{ \cot A }$

$\sf{ = \cot {90}^{ \circ} }$

$= 0$

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