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Sin 300° = 2 sin 150° cos 150° use exact values to show it is true​

1 Answer

5 votes

Answer:

see explanation

Explanation:

left side = sin300° = - sin60° and sin60 =
(√(3) )/(2), thus

sin300° = -
(√(3) )/(2)

right side

sin150° = sin30° =
(1)/(2) and

cos150° = - cos30° = -
(√(3) )/(2), thus

2sin150°cos150°

= 2 ×
(1)/(2) × -
(√(3) )/(2) = -
(√(3) )/(2)

left side = right side ⇒ True

User Pati Ram Yadav
by
8.7k points

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