If triangle ABC is right-angled at C, then the value of sec (A+B) is

We know that the sum of angles of any triangle is always equal to 180⁰.
Therefore, in above figure,
∴ ∠A + ∠B + ∠C = 180
∴ ∠A + ∠B + 90 = 180
∴ ∠A + ∠B = 90
∴ cos (A + B) = cos 90⁰ = 0
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Therefore, sec (A+B) is not defined.
Hence, option d is the correct answer.
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