SOLUTION: Verify the given identity.
sin 4x = 4 sin x cos3 x − 4 cos x sin3 x
Repeatedly use the Double-Angle Identities as needed, and then multiply out the products. (Simplify complete
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-> SOLUTION: Verify the given identity.
sin 4x = 4 sin x cos3 x − 4 cos x sin3 x
Repeatedly use the Double-Angle Identities as needed, and then multiply out the products. (Simplify complete
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Question 1178306: Verify the given identity.
sin 4x = 4 sin x cos3 x − 4 cos x sin3 x
Repeatedly use the Double-Angle Identities as needed, and then multiply out the products. (Simplify completely at each step.)
sin 4x = 2(sin 2x) (cos(2x))
=2(2 sin x)(blank))(cos^2 x − sin(x)^2
=4 sin x cos^3 x − (blank)
I just need help filling in the two blanks. I did 2 of them already but just don't know what the other 2 are.
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Repeatedly use the Double-Angle Identities as needed, and then multiply out the products. (Simplify completely at each step.)