Prove the identity.sin 2x = -2 sin(x - ?/2) cos (x - ?/2)

What will be an ideal response?


-2 sin(x - ?/2) cos (x - ?/2) 
 = -2 ? (-sin(?/2 - x) ) ? cos (?/2 - x)  Using odd and even identities
  = 2 cos x sin x Using cofunction identities
  = sin 2x Using double-angle identity

Mathematics

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Find  and .f(x, y) = 

A.  = -  ;  = - 
B.  = -  ;  = - 
C.  = -  ;  = - 
D.  =  ;  =  

Mathematics

Graph the polar equation.r = 2?

A.

B.

C.

D.

Mathematics

Multiply and simplify. ? 

A. 5m
B.
C.
D. 10

Mathematics

The sides in each pair of figures are proportional. Find the missing length.

A. 6 ft B. 23 ft C. 12 ft D. 36 ft

Mathematics