Geometry

Reciprocal Trigonometric Functions

Which of the following is equal to

$\frac{ 1} { \sin \theta }?$

Which of the following is equal to

$\frac{ 1} { \cos \theta }?$

Which of the following is equal to

$\frac{ 1} { \cot \theta }?$

If $0^\circ < \theta < 90^\circ,$ what is the minimum possible value of $\left(\sin(\theta) + \cos(\theta)\right) \cdot \left(\csc(\theta) + \sec(\theta)\right)?$

In a right triangle $ABC,$ $AB=7,$ $BC=24,$ and $CA = 25.$ Find $\cot \angle CAB.$

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