contestada

Write the first expression in terms of the second if the terminal point determined by t is in the given quadrant.
tan(t), sec(t); Quadrant III
tan(t) = ?

Respuesta :

sqdancefan

Answer:

  tan(t) = √(sec(t)² -1)

Step-by-step explanation:

The relation between tangent and secant is ...

  tan(t)² +1 = sec(t)²

Then ...

  tan(t) = ±√(sec(t)² -1)

In the third quadrant the tangent is positive, so ...

  tan(t) = √(sec(t)² -1)

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