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sunny kumar Grade: 12
        

sin20x=? plz   ans.this

6 years ago

Answers : (1)

Jitender Singh
IIT Delhi
askIITians Faculty
158 Points
										Ans:Hello student, please find answer to your question
sin(20x) = 2sin(10x)cos(10x)
sin(20x) = 2(2sin(5x)cos(5x))cos(10x)
sin(20x) = 4sin(5x)cos(5x)(cos^{2}(5x)-sin^{2}(5x))
sin(20x) = 4sin(5x)cos(5x)(cos(5x)+sin(5x))(cos(5x)-sin(5x))Now, break 5x into 3x & 2x which can be easily convertible into sinx form
sin(2x) = 2sin(x)cos(x)
sin(3x) = 3sin(x)-4sin^{3}(x)
2 years ago
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