Math, asked by sharmaad06, 2 months ago

. If sin A = 12/13, calculate the value of cotangent of angle A.​

Answers

Answered by shubham724517
1

Answer:

CONCEPT OF TRIGONOMETRIC RATIOS AMD FOUR FUNDAMENTAL OPERATIONS.

Step-by-step explanation:

SO , sin A = 12 / 13 = perpendicular / hypotenuse.

So , Perpendicular = 12 , Hypotenuse = 13 , base = ?

So ,

(hypotenuse)^{2}  = (perpendicular) ^{2}  + (base)^{2}

(PYTHAGORAS THEOREM)

HYPOTENUSE = 13 , PERPENDICULAR = 12 , BASE = ?

BY SUBSTITUTING THE VALUES IN FORMULA ,

 {(13)}^{2}  = (12)^{2}  + (base)^{2}

 {(13)}^{2}  -  {(12)}^{2}  =  {(base)}^{2}

(13 + 12)(13 - 12) \:  =  \:  {(base)}^{2}

[BY IDENTITY (a+b)(a-b) = a^2 - b^2]

(25)(1) \:  =  \:  {(base)}^{2}

25 \:   =  \:  {(base)}^{2}

TAKING ROOT ON BOTH THE SIDES ,

WE GET ,

5 = BASE

SO , cot A = Base / perpendicular

cot A = 5 / 13 [BY SUBSTITUTION METHOD]

[ANSWER] :- THE VALUE OF cot A IS 5 / 13.

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Answered by faizagill603
2

Answer:

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Step-by-step explanation:

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