Simplify sec(x)tan(x)cos(x)

Problem

sec(x)*tan(x)*cos(x)

Solution

1. Identify the trigonometric identities for sec(x) and tan(x) in terms of sine and cosine.

2. Substitute the identity sec(x)=1/cos(x) into the expression.

1/cos(x)⋅tan(x)⋅cos(x)

3. Simplify the expression by canceling the cos(x) terms in the numerator and denominator.

tan(x)

Final Answer

sec(x)*tan(x)*cos(x)=tan(x)

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