Simplify 3sin(45)-4tan(pi/6)

Problem

3*sin(45)−4*tan(π/6)

Solution

1. Identify the exact values for the trigonometric functions at the given angles.

2. Substitute the value sin(45)=√(,2)/2 into the expression.

3. Substitute the value tan(π/6)=√(,3)/3 into the expression.

4. Multiply the coefficients by the trigonometric values.

5. Combine the terms into a single expression.

Final Answer

3*sin(45)−4*tan(π/6)=(3√(,2))/2−(4√(,3))/3

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