Evaluate tan(750 degrees )
Problem
Solution
Identify the periodicity of the tangent function. The tangent function has a period of
180 meaningtan(θ+180⋅n)=tan(θ) for any integern Reduce the angle by subtracting multiples of
180 to find the reference angle within the standard range.Calculate the number of full rotations or periods. Since
750/180≈4.16 we subtract180⋅4
Apply the periodic property to rewrite the expression.
Evaluate the tangent of the resulting angle using known trigonometric values.
Rationalize the denominator if necessary.
Final Answer
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