Solve the problem.Show that cos2 x(1 - csc2x) + sin2 x(1 + csc4x) has a constant value.

What will be an ideal response?


cos2 x(1 - csc2x) + sin2 x(1 + csc4x) = cos2 x - cos2 x csc2x + sin2 x + sin2 x csc4x
 = sin2 x + cos2 x - cos2 x + sin2 x 
 = 1 - cot2 x + csc2 x
 = 1 - cot2 x + 1 + cot2 x
 = 2

Mathematics

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Provide an appropriate response.If f(x) = and g(x) = x + 1, find: (a) f(g(x)) and (b) g(f(x)).

What will be an ideal response?

Mathematics

The length of each edge of a cube is 16 cm, with a possible error in measurement of 0.01 cm. Use differentials to estimate the error that might occur when the volume of the cube is calculated. ?  Round the result to the nearest hundredth, if necessary. ?  An error is approximately ± __________ cm3.

Fill in the blank(s) with the appropriate word(s).

Mathematics

Solve the equation.log4  = x

A. 3
B.  
C.
D. -3

Mathematics

Solve the formula for the specified variable.I =  for n

A. n =  
B. n = IR(Ir - E)
C. n = 
D. n =  

Mathematics