Simplify cos(60)+tan(60)

Problem

cos(60)+tan(60)

Solution

1. Identify the exact values for the trigonometric functions at 60 using the unit circle or a special right triangle (30−60−90.

2. Substitute the value cos(60)=1/2 into the expression.

3. Substitute the value tan(60)=√(,3) into the expression.

4. Combine the terms into a single expression. Since one term is a rational number and the other is an irrational square root, they are typically written as a sum or combined over a common denominator.

Final Answer

cos(60)+tan(60)=(1+2√(,3))/2

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