Establish the identity.sin = (sin x - cos x)

What will be an ideal response?


sin  = sin x cos  - sin  cos x =  (sin x - cos x).

Mathematics

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Solve the problem.Anton just bought a house. He made a $45,000 down payment and financed the balance with a 25-year home mortgage loan with an interest rate of 7.2% compounded monthly. His monthly mortgage payment is $613.59. What was the selling price of the house? Round your answer to the nearest dollar.

A. $130,270 B. $128,999 C. $132,995 D. $90,000 E. $95,895

Mathematics

Solve the problem.The graph below shows the position s = f(t) of a body moving back and forth on a coordinate line. (a) When is the body moving away from the origin? Toward the origin? At approximately what times is the (b) velocity equal to zero? (c) Acceleration equal to zero? (d) When is the acceleration positive? Negative?

What will be an ideal response?

Mathematics

Find all numbers a such that the given point is on the circle x2 + y2 = 1.

A. a = ± 
B. a = ± 
C. a = ± 
D. a = ± 

Mathematics

Write the logarithmic equation as an exponential equation.log525 = 2

A. 252 = 5 B. 25 = 25 C. 525 = 2 D. 52 = 25

Mathematics