Question

If cotA=24/7,find sinA,tanA,cosA

Answer 1

Answer:

$sinA = Perpendicular/Hypotenuse = 7/25$

$tanA = Perpendicular/Base = 7/24$

$cosA = Base/Hypotenuse = 24/25$

Step-by-step explanation:

Given that: $cotA = 24/7$

We know that cotθ = $Base/Perpendicular$

So, we can say that,

$Base = 24 units$

$Perpendicular = 7 units$

By applying Pythagora's Theorem:

$Hypotenuse = \sqrt{Perpendicular^2 + Base^2} = \sqrt{24^2 + 7^2} = \sqrt{576+49} = \sqrt{625} = 25 units$

So,

$sinA = Perpendicular/Hypotenuse = 7/25$

$tanA = Perpendicular/Base = 7/24$

$cosA = Base/Hypotenuse = 24/25$