Trigonometry

1. Basic Trigonometric Functions

1.1. Sine, Cosine, and Tangent

  • *Sine (sin):* In a right triangle, the sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

sin(\theta) = \frac{opposite}{hypotenuse}

  • *Cosine (cos):* The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

cos(\theta) = \frac{adjacent}{hypotenuse}

  • *Tangent (tan):* The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

tan(\theta) = \frac{opposite}{adjacent}
1.2. Reciprocal Trigonometric Functions

  • *Cotangent (cot):* The reciprocal of tangent.

cot(\theta) = \frac{1}{tan(\theta)} = \frac{adjacent}{opposite}

1. Basic Trigonometric Functions

1.1. Sine, Cosine, and Tangent

  • *Sine (sin):* In a right triangle, the sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

sin(\theta) = \frac{opposite}{hypotenuse}

  • *Cosine (cos):* The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

cos(\theta) = \frac{adjacent}{hypotenuse}

  • *Tangent (tan):* The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

tan(\theta) = \frac{opposite}{adjacent}
1.2. Reciprocal Trigonometric Functions

  • *Cotangent (cot):* The reciprocal of tangent.

cot(\theta) = \frac{1}{tan(\theta)} = \frac{adjacent}{opposite}

  1. Line of Depression

    2.1 Definition

    • The angle made by a line from the eye of an observer to an object below and a horizontal line.