Simplify tan(pi/4)+csc(pi/6)

Problem

tan(π/4)+csc(π/6)

Solution

1. Evaluate the first term by identifying the value of tan(π/4) on the unit circle.

tan(π/4)=1

2. Evaluate the second term by identifying the value of csc(π/6) which is the reciprocal of sin(π/6)

sin(π/6)=1/2

3. Calculate the reciprocal to find the cosecant value.

csc(π/6)=1/(1/2)=2

4. Add the two resulting values together to find the final simplified expression.

1+2=3

Final Answer

tan(π/4)+csc(π/6)=3

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