If sin(theta) = 5/13, find the value of tan(theta) + sec(theta).

Topic: Trigonometry
Subtopic: Ratios

A1.2

B1.5

C1.8

D2.0

Explanation

Opposite = 5, Hypotenuse = 13 => Adjacent = sqrt(169 – 25) = 12. tan(theta) = 5/12, sec(theta) = 13/12. Sum = (5 + 13) / 12 = 18 / 12 = 1.5.

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