Verify the identity.sin  = -cos x

What will be an ideal response?


sin  = sin  cos x - cos  sin x = (-1) ? cos x - 0 ? sin x = -cos x

Mathematics

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Find the requested value for the given functions.f(x) = x + 6, g(x) = x - 10 Find (f ? g)(x) and (f ? g)(7).

A. (f ? g)(x) = x2 + 4x - 60; (f ? g)(7) = 17 B. (f ? g)(x) = x2 + 16x + 60; (f ? g)(7) = 221 C. (f ? g)(x) = x2 - 4x - 60; (f ? g)(7) = -39 D. (f ? g)(x) = x2 - 4x + 60; (f ? g)(7) = 81

Mathematics

Solve.A swimmer swims the 200m backstroke in 2.23547 minutes. Round her time to the nearest hundredth.

A. 2.25 minutes B. 2.23 minutes C. 2.235 minutes D. 2.24 minutes

Mathematics

Provide an appropriate response.Find the exact value of 

A. 1 B. 2 C. 0 D. - 2

Mathematics

Solve by completing the square.x2 - 14x + 13 = 0

A. x = ± 
B. x = -13, x = -1
C. x = 1, x = 13
D. x = 1, x = 12

Mathematics