Question

If cosA = 24/25
then the value of sin A 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.

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Step: 1

From Formula

We know that Sin²A+Cos²A=1

=> SinA

=√(1-Cos²A)

=√{1-(24/25)²}

=√{1-(546/625)}

=√{(625-576)/625}

=√{49/625}

=7/25

=>SinA=7/25

Step:2

Simple Way

We know that CosA= b/h, SinA= p/h

According to the Question,

b/h=24/25

We also know that

p²+b²=h²

=> p²=h²-b²

=> p=√{h²-b²}=√{25²-24²}=√{625-576}=√49=7

Now, SinA=p/h=7/25

=> SinA=7/25

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