SOLUTION: A cosine graph goes through the points (0,a) and (3π/4, -a). If the equation of the graph is {{{y=acoskx}}}, and {{{k=1}}}, what is the value of {{{a}}}?

Question 1118125: A cosine graph goes through the points (0,a) and (3π/4, -a). If the equation of the graph is , and , what is the value of ?
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
(or else there is an error in the problem statement).

k=1 so we can write

Consider :

or about -0.7071, so a*cos(x) is -0.7071*a there. Yet, the problem statement says it should be -a. The function can not be both -a and -0.7071a for any nonzero value of a.

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SOLUTION: A cosine graph goes through the points (0,a) and (3&#960;/4, -a). If the equation of the graph is {{{y=acoskx}}}, and {{{k=1}}}, what is the value of {{{a}}}?

SOLUTION: A cosine graph goes through the points (0,a) and (3π/4, -a). If the equation of the graph is {{{y=acoskx}}}, and {{{k=1}}}, what is the value of {{{a}}}?