Question

Verify it:-

2 sin 30° cos 30°=sin 60°

Answer 1

$\huge\boxed{\fcolorbox{cyan}{grey}{Solution:-}}$.

➡Given here,

↪2Sin30° Cos30° = Sin60°

[ we know,

♠Sin30°= 1/2

♠Cos30°= √3/2

♠Sin60°= √3/2

So,Keep all values above

↪2×1/2×√3/2 = √3/2

=> √3/2 = √3/2

=>L.H.S.=R.H.S

➡Thats Proved.

➡Hopes its help u.

Answer 2

Step-by-step explanation:

LHS

2sin30cos30

sin60

LHS= RHS

Now methods 2

RHS

Sin(60)

sin(30 + 30)

sin30 cos30 + cos30sin30

2sin30cos30

So LHS = RHS

Methods 3

LHS

2sin30cos30

2*sqrt3/4

sqrt3/2

sin60

so LHS = RHS

Method 4

RHS

Sin60

Sqrt3/2

2sqrt3/4

2(sqrt3/2 *1/2)

2sin30cos30

so

LHS = RHS

Method 5

LHS

2sin30cos30

sqrt3/2

Now

RHS

sin60

sqrt3/2

so

LHS = RHS