Question

in the right angled ABC if angle c=90 degree, AC=3 ,BC=4 find the ratio sin A cos A tanA​

Answer 1

Hope This will help u dear

Answer 2

Given,

∆ ABC is right-angled at C.

AC = 3

BC = 4

To find,

The value of Sin A, Cos A, and tan A.

Solution,

The value of Sin A, Cos A and tan A will be 4/5, 3/5 and 4/3 respectively.

We can easily solve this problem by following the given steps.

According to the question,

∆ ABC is right-angled at C.

AC = 3

BC = 4

Let's take the base to BC, height to be AC and hypotenuse to be AB.

Using Pythagoras theorem in ∆ ACB,

AB² = AC²+BC²

AB² = (3)²+(4)²

AB² = 9+16

AB = √25

AB = 5

We know that the value of Sin is found by perpendicular/hypotenuse, the value of cos is found by base/hypotenuse and the value of tan is found by perpendicular/base.

For angle A, the perpendicular is BC, the base is AC and the hypotenuse is AB.

Now,

Sin A = BC/AB = 4/5

Cos A = AC/AB = 3/5

Tan A = BC/AC = 4/3

Hence, the value of Sin A, Cos A and tan A is 4/5, 3/5 and 4/3 respectively.