The secant of an angle is sec(x)=13/5 what is its tangent?

Question

The secant of an angle is sec(x)=13/5 what is its tangent?

Answer 1

secx = 13/5 You should recognize this as the hypotenuse divided by the horizontal side of a right triangle based on angle x. The vertical side of the right triangle is 12. (from 5-12-13 triangle or sqrt(13²-5²))

tanx is the ratio of the vertical side to the horizontal side or 12/5

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