Simplify (sin(2x))/(cos(x))

Problem

sin(2*x)/cos(x)

Solution

1. Apply the double angle identity for the sine function, which states that sin(2*x)=2*sin(x)*cos(x)

(2*sin(x)*cos(x))/cos(x)

2. Cancel the common factor of cos(x) from the numerator and the denominator, assuming cos(x)≠0

2*sin(x)

Final Answer

sin(2*x)/cos(x)=2*sin(x)

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