Question

5. If x = 30°, then prove that :
sin 3x = 3 sin x - 4 sinºx​

Answer 1

Step-by-step explanation:

L.H.S = sin3x = sin3 (30°)

sin3x = sin 90°

sin3x = 1

And also sin3x = 3 sinx - 4 sin³x (R.H.S)

sin3x = 3 sin(30°) - 4[sin(30°)]³

sin3x = 3(1/2) - 4[ 1/2 ]³

sin3x = 3/2 - 1/2 = 2/2 = 1

hence proved L.H.S = R.H.S.

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Answer 2

Answer:

given x= 30

sin 3× 30 = 3 sin 30 - 4 sin³ 30

= 3× ½- 4(½)³

= 3/2-4/8

=3/2-1/2

=2/2

= 1