Question

what is the value of x in the following equation: sin 2x= sin 45 degrees cos 45 degrees + sin 30 degree​

Answer 1

Answer:

x=15

Step-by-step explanation:

R.H.S

sin45⋅cos45

o

+sin30

=

2

1

.

2

1

+

2

1

=

2

1

+

2

1

=

2

2

=1

Now,

L.H.S

tan3x=1

But tan45

o

=1

∴tan3x=tan45

⇒3x=45

⇒x=

3

45

∴x=15.

Answer 2

Step-by-step explanation:

sin2x= sin45°cos45°+sin30°

sin 2x= 1/√2×1/√2+1/2

sin 2x= 1/2+1/2

sin 2x=2/2

sin 2x=1

sin 2x=sin 90

2x=90

x=45°

Hope it helped you:)