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Question
2 sin A cos3 A – 2 sin3 A cos A = ______.
Options
sin 4A
`1/2 sin 4A`
`1/4 sin 4A`
None of these
MCQ
Fill in the Blanks
Solution
2 sin A cos3 A – 2 sin3 A cos A = `underlinebb(1/2 sin 4A)`.
Explanation:
2 sin A cos3 A – 2 sin3 A cos A
= 2 sin A cos A(cos2 A – sin2 A)
= 2 sin A cos A cos 2A
= sin 2A cos 2A
= `1/2` sin 4A
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Trigonometric Functions of Triple Angle
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