Simplify cot θ sec θ.

cos thetha/sin thetha *1/cos thetha

1/sin thetha

which can be written as cosec thetha

csc θ

Step-by-step explanation:

cot θ sec θ can be substituted by reducing the expression into equivalent parts.

cot θ = (cos θ)/(sin θ)

sec θ = 1/(cos θ)

Reduce these two values to get 1/(sin θ)

This expression can then be changed to csc θ, as it is also equivalent.

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