Verify whether the statement is true.

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AI Thread Summary
The equation 2cos^2(4x) - 1 = 0 is being analyzed, with proposed solutions x = pi/16 and x = 3pi/16. The user attempts to solve the equation by substituting x = pi/16, leading to the evaluation of cos(pi/4). There is confusion regarding the interpretation of the equation, suggesting the need for clearer notation. The discussion highlights the challenge of solving trigonometric equations and the importance of precise mathematical expression. The conversation emphasizes the need for further clarification and assistance in solving the equation.
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Homework Statement


2cos^2 4x-1=0

a)x= pi/16 x=3pi/16


Homework Equations





The Attempt at a Solution


a) x=pi/16

u=cosx
v=4x
2u^2 v-1=0
i'm stuck here
 
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are you solving this equation: 2 * cos^2(4x) - 1 = 0

first plugin the x=pi/16 --> 4x = pi/4 and so you have 2 * cos^2(pi/4) - 1 = 0

so what is cos(pi/4)? then square it and solve.
 
maxtheminawes said:

Homework Statement


2cos^2 4x-1=0
What does this mean? I can think of at least two interpretations. Use parentheses to make the meaning clear.
maxtheminawes said:
a)x= pi/16 x=3pi/16


Homework Equations





The Attempt at a Solution


a) x=pi/16

u=cosx
v=4x
2u^2 v-1=0
i'm stuck here
 
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