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Question

How do you solve cos(x)=sin(x)?


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Solution

Use trigonometry to solve the equation.

Given an equation, cos(x)=sin(x)

Dividing both side by cos(x),

tan(x)=1,

Take inverse on both sides.

x=tan-1(1)x=π4

The period of the tan(x) function is π so values will repeat everyπ radians in both directions.

Therefore, x=nπ+π4is the solution of the equation cos(x)=sin(x).


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