Question

please tell me the procedure of doing this question ​

Answer 1

Answer:

Option (C)

Step-by-step explanation:

Solution :-

We know that

Tan A = Sin A / Cos A -----------(1)

We know that

The identity of trigonometric ratio is

Sin² A+ Cos² A = 1

=> Cos² A = 1 - Sin² A

=> Cos A = √(1-Sin² A)

Now

Equation (1) becomes

Tan A = Sin A / √(1-Sin² A)

Answer :-

Tan A = Sin A / √(1-Sin² A)

Answer 2

Option (C)

$\underline{\tt{Step-by-step\: explanation:}}$

Solution :-

We know ,

$\sf{Tan \: A = \dfrac{Sin \:A}{Cos \: A}}$ -----------(1)

We know that

The identity of trigonometric ratio is,

$\sf{Sin²\: A+ Cos²\: A = 1}$

$\sf{>>> Cos² \:A = 1 - Sin² \:A}$

$\sf{>>> Cos\: A = \sqrt{(1-Sin² \:A)}}$

Now

Equation (1) becomes

$\sf{Tan \:A = \dfrac{Sin\: A}{\sqrt{(1-Sin²\: A) }}}$

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HOPES IT HELPS!:)