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

Problem

sin(π/6)*cos(π/3)−tan(π/4)

Solution

1. Evaluate the trigonometric value for sin(π/6) which is 1/2

2. Evaluate the trigonometric value for cos(π/3) which is 1/2

3. Evaluate the trigonometric value for tan(π/4) which is 1

4. Substitute these values into the original expression.

(1/2)*(1/2)−1

5. Multiply the fractions in the first term.

1/4−1

6. Subtract the values by finding a common denominator.

1/4−4/4=−3/4

Final Answer

sin(π/6)*cos(π/3)−tan(π/4)=−3/4

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