Simplify tan(pi/4)+sin(30)

Problem

tan(π/4)+sin(30)

Solution

1. Evaluate the tangent term using the unit circle or trigonometric identities, where tan(π/4)=1

2. Evaluate the sine term by converting the angle to radians or using the standard value for 30 where sin(30)=1/2

3. Substitute the values back into the original expression to get 1+1/2

4. Add the constants by finding a common denominator.

1+1/2=2/2+1/2

2/2+1/2=3/2

Final Answer

tan(π/4)+sin(30)=3/2

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