Question

If sin 3 theta= cos( theta -30) where theta-30 is an acute angle ; show that sin3 theta=1

Answer 1

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Answer 2

Step-by-step explanation:

Sin 3 theta = Cos ( theta - 30)

Sin 3 theta = Sin [ 90 - ( theta - 30 )]

3 theta = 90 - theta + 30

4 theta = 120

theta = 30°

Sin 3 theta

Sin (3) ( 30)

Sin 90°

Sin 90 ° = 1

= 1

Hence , proved