### Home > PC3 > Chapter 12 > Lesson 12.1.1 > Problem12-16

12-16.

Determine the value of $\cot(θ)$ given $\sec(θ) = \frac { 5 } { 4 }$ and $\csc(θ) < 0$.

If secant is positive, then cosine is positive.
If cosecant is negative, then sine is negative.
In which quadrant is cosine positive and sine negative?

Draw a diagram of the situation.