Final answer:
To simplify the expression 1/(cot²θ) + sec θ cos, substitute cot²θ as 1/tan²θ. Simplify further to get tan²θ + sec θ cos.
Step-by-step explanation:
To simplify the expression 1/(cot²θ) + sec θ cos, we can use basic trigonometric identities. First, we rewrite cot²θ as 1/tan²θ. Then, we substitute 1/tan²θ for cot²θ in the expression, giving us 1/(1/tan²θ) + sec θ cos. Simplifying further, we get tan²θ + sec θ cos. The expression is now simplified using basic identities.