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
Algebra.Com
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.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Repeatedly use the Double-Angle Identities as needed, and then multiply out the products. (Simplify completely at each step.)
........ and
...., and
....
RELATED QUESTIONS
Verify the Identity. (Use of Pythagorean Identities)
csc x - sin x = cos x cot... (answered by Gogonati)
Verify the trig identity: sin^4(x)+cos^4 (x)=3/4 + 1/4 cos(4x). (answered by jsmallt9)
verify the identity... (answered by Edwin McCravy)
Use the Angle sum identity to verify:
sin(x+(pi/2))=cos... (answered by ikleyn)
Use the Angle sum identity to verify:
Question #1.
sin(x+(pi/2))=cos... (answered by ikleyn)
Please verify the following identity:
cos^4 x + sin^2 x = cos^2 x + sin^4... (answered by Tatiana_Stebko)
Verify the identity:
{{{Sin(x)(1-2*Cos^2x+ Cos^4x) =... (answered by Edwin McCravy)
Verify the identity.
(cos(x) - cos(y))/(sin(x) + sin(y)) + (sin(x) - sin(y))/(cos(x) + (answered by solver91311)
Prove the following identities:
sin^4 x - sin^2 x = cos^4 x - cos^2... (answered by Alan3354)