Q. 10 B5.0( 8 Votes )

# If tan A= 4/3. Find the other trigonometric ratios of the angle A.

We know that,

Or

Here, θ = A

Let,

The side opposite to angle A =BC = 4k

The side adjacent to angle A =AB = 3k

where k is any positive integer

Firstly we have to find the value of AC.

So, we can find the value of AC with the help of Pythagoras theorem

(AB)2 + (BC)2 = (AC)2

(3k)2 + (4k)2 = (AC)2

(AC)2 = 9 k2 +16 k2

(AC)2 = 25 k2

AC =25 k2

AC =±5k

But side AC can’t be negative. So, AC = 5k

Now, we will find the sin A and cos A

Side opposite to angle A = BC = 4k

and Hypotenuse = AC = 5k

So,

Now, We know that

Side adjacent to angle A = AB = 3k

and Hypotenuse = AC = 5k

So,

Now, we find other trigonometric ratios

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Given calculate all other trigonometric ratios.

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