Use the product-to-sum identity 2 cos A cos B = cos (A + B) + cos (A – B) to prove the sum-to- P + Q` P. product identity cos P + cos Q = 2 cos cos 2 2 Hence solve the equation cos 4x + cos x = 0, for 0 < x < n.

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Chapter2: Second-order Linear Odes
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13 a
Use the product-to-sum identity 2 cos A cos B = cos (A + B) + cos (A
B) to prove the sum-to-
P + Q\
product identity cos P + cos Q = 2 cos (2) cos (2).
b Hence solve the equation cos 4x + cos x = 0, for 0 < x < n.
Transcribed Image Text:13 a Use the product-to-sum identity 2 cos A cos B = cos (A + B) + cos (A B) to prove the sum-to- P + Q\ product identity cos P + cos Q = 2 cos (2) cos (2). b Hence solve the equation cos 4x + cos x = 0, for 0 < x < n.
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