Final answer:
To simplify the expression 1/cot 0 + sec 0, substitute cot 0 with its reciprocal form 1/tan 0 and sec 0 with its reciprocal form 1/cos 0. Simplify further by rewriting cos 0/sin 0 as cot 0 and the expression becomes cot 0 + 1/cos 0.
Step-by-step explanation:
To simplify the expression 1/cot 0 + sec 0, we can utilize basic trigonometric identities. First, substitute cot 0 with its reciprocal form 1/tan 0, and sec 0 with its reciprocal form 1/cos 0. Now, we have 1/(1/tan 0) + 1/cos 0.
Simplifying the expression further, we can rewrite tan 0 as sin 0/cos 0. So, the expression becomes 1/(1/(sin 0/cos 0)) + 1/cos 0. Combining the fractions, it becomes cos 0/sin 0 + 1/cos 0.
Simplifying the expression even more, we can rewrite cos 0/sin 0 as cot 0, so the expression simplifies to cot 0 + 1/cos 0.