Question

If cos A=24/25,then the value of sins is?

Answer 1

Answer:

cos a=base/hypotenuse.

let x is included,so

base=24 x.

hypotenuse=25 x.

by pythagorus theorem,

perpendicular= √(hypotenuse ^2-base ^2)

= √( 625-57 6)x.

= √( 4,9)x

=7 x.

sin a =perpendicular/hypotenuse

=7x/25x

=7/25.

Answer 2

Given:

Cos A= 24/25

To find:

Sin A

Solution:

We can find the solution by following a simple process-

We know that the value of Sin²A+Cos²A=1.

We will use this formula to proceed.

Sin²A= 1-Cos²A

= 1- 24²/25²

=25²-24²/25²

=625-576/625

=49/625

Sin²A=49/625

Sin A= √49/√625

Sin A=7/25

Therefore, the value of Sin A is 7/25.