Question

If A is an acute angle and sin A = 4/5, find all other trigonometric ratios of angle A (using

trigonometric identities)​

Answer 1

Answer:

cos A = 3/5

tan A = 4/3

cosec A = 5/4

sec A = 5/3

cot A = 3/4

Answer 2

Answer:

SinA = 4/5

CosA = 3/5

TanA= 4/3

Step-by-step explanation:

We know Sin A = P/H ( perpendicular/ Hypotenuse )

therefore by Pythagoras theoram

(H^2=P^2+B^2)

By putting the value we get

5^2=4^2+B^2

25=16+B^2

therefore from here we get

B =3

After finding out the value of P = 4 H=5 B=3

we have

CosA= 3/5 (B/H)

Tan A= 4/3 (P/B)

and rest is reciprocal of all the three basic trigonometric identities