Prove the identity.sin (x + y) - sin (x - y) = 2 cos x sin y

What will be an ideal response?


sin (x + y) - sin (x - y) = sin x cos y + cos x sin y - sin x cos y + cos x sin y = 2 cos x sin y.

Mathematics

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Solve.Find the original price when the discount rate is 50% and the amount of discount is $262.50.

A. $525.00 B. $5.25 C. $131.25 D. $13,125.00

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Solve.A student takes out two loans totaling $11,000 to help pay for college expenses. One loan is at 9% simple interest, and the other is at 8% simple interest. The first-year interest is . Find the amount of the loan at 8%.

A. $320 B. $630 C. $7000 D. $4000

Mathematics

Find a general term an for the geometric sequence.a1 = 2, r = 2

A. an= 2 + 2(n - 1)  B. an = 2n-1 + 1 C. an = 2(2)n-1 D. an =2( 2)(n-1) 

Mathematics