Question

If 5 sin teta=3 then Cos teta

1)5/4 2) 4/5 3) 3/4 4) 5/3
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Answer 1

Step-by-step explanation:

Sin theta = 3/5

Cos theta = √(1 - Sin² theta)

= √{ 1 - (3/5)²}

= √ ( 1 - 9/25 )

= √(16/25) = 4/5

Answer 2

Step-by-step explanation:

Given -

5SinΦ = 3

To Find -

CosΦ = ?

As we know that :-

• SinΦ = 3/5

And

• SinΦ = perpendicular/hypotenuse

So,

perpendicular = 3

and

hypotenuse = 5

Now,

Using Pythagoras theorem :-

(Hypotenuse)² = (Perpendicular)² + (Base)²

It means,

(AC)² = (AB)² + (BC)²

» (5)² = (3)² + (BC)²

» (BC)² = 25 - 9

» BC = √16

• » BC = 4

Hence,

• Base = 4

And

As we know that :-

• CosΦ = Base/hypotenuse

» 4/5

Hence,

The CosΦ is 4/5