Question

is sinA =24÷25 ,then cotA= ?

Answer 1

Heya, find the answer in the attached image.

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Answer 2

Hi !

SinA = 24/25

We know that ,
SinA = Opposite side(o) / Hypotenuse(h)

o/h = 24/25

Let the hypotenuse(AC) be "25k" and one of the sides(BC) be "24k"

BY Pythagoras theorem ,

AB² + BC² = AC²
AB² = AC²-BC²
       = (25k)² - (24k)²
       = 625k² - 576k²
       = 49k²

AB = √49k²
      = 7k

AB = adjacent side(a)

We know that .

cotA = a/o
        = 7/24

cot A = 7/24