Flashcard 19 - Math Flashcard Set for the SAT Exam

\[\sin{\theta} = \frac{\text{opposite}}{\text{hypotenuse}}\] \[\cos{\theta} = \frac{\text{adjacent}}{\text{hypotenuse}}\] \[\tan{\theta} = \frac{\text{opposite}}{\text{adjacent}}\] \[\csc{\theta} = \frac{\text{hypotenuse}}{\text{opposite}}\] \[\sec{\theta} = \frac{\text{hypotenuse}}{\text{adjacent}}\] \[\cot{\theta} = \frac{\text{adjacent}}{\text{opposite}}\]

In a right triangle, the longest side is the “hypotenuse,” which is opposite the \(90^{\circ}\) angle. The other two sides are the “legs” of the triangle. If we let one of the acute angles be \(\theta\), the leg across from it is called the “opposite” leg (side).The other leg is the “adjacent” leg (side). Based on these, we define the six trigonometric ratios.