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Complete the identity sin(2θ) sin(4θ) cos(2θ) cos(4θ) = ?

User Antmeehan
by
6.6k points

1 Answer

2 votes

Answer:

Explanation:

Factor the left hand side as a difference of squares:

(

cos

2

θ

+

sin

2

θ

)

(

cos

2

θ

sin

2

θ

)

=

cos

2

θ

sin

2

θ

Apply the pythagorean identity

cos

2

θ

+

sin

2

θ

=

1

:

1

(

cos

2

θ

sin

2

θ

)

=

cos

2

θ

sin

2

θ

cos

2

θ

sin

2

θ

=

cos

2

θ

sin

2

θ

L

H

S

=

R

H

S

Hopefully this helps!

User Bruni
by
7.2k points