Question

If cosA = 4/5 then find tanA =?​

Answer 1

Answer:

cos A = 4/5

Base / Hypotenuse = 4/5

Let Base = 4x and Hypotenuse = 5x

As (3x, 4x, 5x) is a Pythagorean Triplet,

Perpendicular = 3x

Now, tan A = Perpendicular / Base

tan A = 3x / 4x

tan A = 3/4

Answer 2

Answer:

tan A= 3/4

Step-by-step explanation:

sin²A + cos²A = 1

sin²A + (4/5)² = 1

sin²A = 1 - (16/25)

sin²A = (9/25)

sin A = 3/5

We know,

tan A = sin a / cos A

So,

tan A = (3/5)/(4/5)

Therefore, tan A = 3/4