Final answer:
To simplify the expression cot θ + secθ cos φ, use basic trigonometric identities and combine the terms using a common denominator.
Step-by-step explanation:
To simplify the expression cot θ + secθ cos φ, we can use basic trigonometric identities. The reciprocal identity states that cot θ = 1/tan θ and sec θ = 1/cos θ. Therefore, the expression can be rewritten as 1/tan θ + 1/cos θ * cos φ. We can combine the two terms using a common denominator:
(1 * cos φ + tan θ) / (tan θ * cos θ)
This expression simplifies to (cos φ + sin θ) / sin θ * cos θ. This is the simplified form of the given expression.