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tamaranim1 [39]
3 years ago
14

Write the expression as the sine, cosine, or tangent of an angle. cos 8x cos 2x - sin 8x sin 2x

Mathematics
2 answers:
igomit [66]3 years ago
5 0
Sum and Difference Formula for Cosine: cos(α±β)= cosαcosβ <span>∓ sin</span>αsinβ
cos(8x+2x)=cosαcosβ-sinαsinβ
cos(10x)=cosαcosβ-sinαsinβ
marusya05 [52]3 years ago
4 0

Answer:

 cos (A - B) =  cos 6 x

Step-by-step explanation:

given equation,

     = cos 8 x . cos 2 x - sin 8 x . sin 2 x

   using identity

cos (A - B)  = cos (A) . cos(B) -  sin (A) . sin(B)...................(1)

cos 8 x . cos 2 x - sin 8 x . sin 2 x......................................(2)

comparing both the equation (1) and (2)

we get ,

A = 8 x         B = 2 x

hence, from the above identity we can see that

cos (A - B)  = cos (8 x - 2 x)

 cos (A - B) =  cos 6 x

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Answer:

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In interval form this is Domain is (-∞, ∞) and Range is  (0, ∞).

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