It is the process of determining the differences of elevation of stations from observed vertical angle and known horizontal distance..
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There are three types of trigonometric functions, they are: 1- Plane Trigonometric Functions 2- Inverse Trigonometric Functions and 3- Hyperbolic Trigonometric Functions
Yes, but it is called a hyberbolic trigonometric function
Just as with any other identity, a trigonometric identity is a trigonometric statement (other than a definition), which is true for all values of the variable or variables.
Trigonometric identities involve certain functions of one or more angles. These identities are useful whenever expressions involving trigonometric functions need to be simplified.
With ease, I suppose. The question depends on what you consider easy trigonometric functions.