Question

What is the positive minimum value of sec theta​

Answer 1

For sec(θ) the graph has a shape of the letter "U", for -π/2 < θ < π/2; andan inverted "U", for π/2 < θ < 3π/2; This pattern repeats itself for every π interval.

- The U pattern for -π/2 < θ < π/2 :

At θ = -π/2 +ε , sec(θ) = +Infinity;

At θ = 0 , sec(θ) = 1;

At θ = π/2 -ε , sec(θ) = +Infinity;

Note1: In this interval sec(θ) has a maximum of +Infinity , and a min of 1.

- The inverted U pattern for π/2 < θ < 3π/2:

At θ = π/2 +ε , sec(θ) = -Infinity;

At θ = π , sec(θ) = - 1;

At θ = 3π/2 -ε, sec(θ) = -Infinity;

Note2: In this interval sec(θ) has a minimum of -Infinity , and a max of -1.

- From this point on the graph of sec(θ) repeats itself.

Answer 2

Answer:

Answer. Answer: At θ = π/2 +ε , sec(θ) = -Infinity; At θ = π , sec(θ) = - 1; At θ = 3π/2 -ε, sec(θ) = -Infinity; Note2: In this interval sec(θ) has a minimum of -Infinity , and a max of -1.

Step-by-step explanation:

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