Question

sin 2x=sin 60 cos 30 -cos 60 sin30​

Answer 1

ANSWER:---------

We know that Here, we have {cos(2x) = cos(60°)cos(30°) + {sin(60°)sin(30°)Hence, sin(2x) = {sin(90°) We know that sin(90°) = {1Hence, sin(2x) = 1}

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Answer 2

2 ways to do this

Method 1:

Put the value since we know these standard values

sin2x=[(√3/2)*(√3/2)]-[(1/2)*(1/2)]

=3/4-1/4

=2/4

=1/2

=sin 30

2x=30

x=15°

Method 2:Using sin(a-b)

If you observe the RHS carefully it is actually sin (a-b)

since sin(a-b)=sina*cosb-cosa*sinb

hence sin2x=sin(60-30)

sin2x=sin30

2x=30

x=15°

Hope it helps

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