Simplify tan(270)

Problem

tan(270)

Solution

1. Identify the definition of the tangent function in terms of sine and cosine.

tan(θ)=sin(θ)/cos(θ)

2. Substitute the given angle into the trigonometric functions.

tan(270)=sin(270)/cos(270)

3. Evaluate the sine and cosine values at 270 using the unit circle.

sin(270)=−1

cos(270)=0

4. Determine the result of the division by zero.

tan(270)=(−1)/0

Final Answer

tan(270)=undefined

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