Question

if CosA=24/25 then the value of sinA is​

Answer 1

Answer:

the correct answer of your question is 7/25

Answer 2

The value of sinA is​ 7/25.

Given:

cosA = 24/25

To Find:

The value of sinA.

Solution:

To solve this problem, we will use the following concept:

sin²A + cos²A = 1

⇒ sin²A = 1 - cos²A.

⇒ sinA = √(1 - cos²A).

Now, we are given that cosA = 24/25. Taking the square:

⇒ cos²A = (24/25)² = 576/625

On subtracting 1 from the above equation,

1 - cos²A = 1 - 576/625 = (625 - 576)/625 = 49/625

√(1 - cos²A) = √(49/625) = 7/25

We know that sinA = √(1 - cos²A)

⇒ sinA = 7/25.

∴ The value of sinA is​ 7/25.