Question

Sinx=3/5, X lies in second quadrant then find cos x is *​

Answer 1

Answer:

Cosx = -4/5

Step-by-step explanation:

We know that,

Sin²x + Cos²x = 1

then,

Cos²x = 1 - Sin²x

Cosx = √(1 - Sin²x)

We are given,

Sinx = 3/5

Thus,

Cosx = √(1 - Sin²x)

Cosx = √(1 - (3/5)²)

Cosx = √(1 - 9/25)

Cosx = √((25/25) - (9/25))

Cosx = √(25 - 9)/25

Cosx = √(16/25)

Cosx = +4/5 or -4/5

Now, x lies in the 2nd Quadrant

Thus,

All the functions except Sin will be negative.

Hence,

Cosx = -4/5

Hope it helped and you understood it........All the best