Simplify sec(0)+cot(45)

Problem

sec(0)+cot(45)

Solution

1. Evaluate the first term by using the reciprocal identity sec(θ)=1/cos(θ)

sec(0)=1/cos(0)

2. Substitute the known value cos(0)=1 into the expression.

sec(0)=1/1=1

3. Evaluate the second term by using the reciprocal identity cot(θ)=1/tan(θ)

cot(45)=1/tan(45)

4. Substitute the known value tan(45)=1 into the expression.

cot(45)=1/1=1

5. Add the two evaluated results together to find the final sum.

1+1=2

Final Answer

sec(0)+cot(45)=2

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