Find the Exact Value tan(875/350)

Problem

tan(875/350)

Solution

1. Simplify the fraction inside the tangent function by dividing both the numerator and the denominator by their greatest common divisor, which is 175.

875/350=5/2

2. Rewrite the expression using the simplified value.

tan(5/2)

3. Determine if an exact algebraic value exists. Since 5/2 radians is not a standard multiple of π (like π/4 or π/6, the exact value is simply the expression itself.

Final Answer

tan(875/350)=tan(5/2)

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