Question

"Question21
Verify, 2sin30° cos30° = sin60°
Chapter6,T-Ratios of particular angles Exercise -6 ,Page number 288"

Answer 1

Hey there!

Let's verify the following equation using the values of T-Ratios of particular angles.

We know that,
sin30 = 1/2
cos30 = √3/2
sin60 = √3/2

Now,
2 sin30 * cos30 = sin60

2 ( 1/2 ) ( √3/2 ) = √3/2

√3/2 = √3/2

Hence, L. H. S = R. H. S.

From this, We can make a identity : 2sinx cosx = sin2x .

Thus, We proved that " 2sin30° cos30° = sin60° "

Answer 2

HELLO DEAR,


2sin30° * cos30° = sin60°


how, R.H.S.


2sin30° * cos30°

2 * 1/2 * √3/2

= 2* √3/4

= √3/2


now, L.H.S

SIN60° = √3/2


HENCE,


R.H.S = L.H.S



I HOPE ITS HELP YOU DEAR,
THANKS