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we discuss the four other trigonometric functions: tangent, cotangent, secant, and cosecant. Each of these functions are derived in some way from sine and cosine. The tangent of x is defined to be its sine divided by its cosine: tanx = sinx cosx: The cotangent of x is defined to be the cosine of x divided by the sine of x: cotx = cosx sinx:
The primary trigonometric functions are the sine and cosine of an angle. These are sometimes abbreviated sin(θ) and cos(θ), respectively, where θ is the angle, but the parentheses around the angle are often omitted, e.g., sin θ and cos θ. The tangent (tan) of an angle is the ratio of the sine to the cosine:
A Trigonometric identity or trig identity is an identity that contains the trigonometric functions sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), or cosecant (csc). Trigonometric identities can use to: Simplify trigonometric expressions. Solve trigonometric equations. Prove that one trigonometric expression is ...
Fundamental trig identity. cos(. (cos x)2 + (sin x)2 = 1. 1 + (tan x)2 = (sec x)2 (cot x)2 + 1 = (cosec x)2.
Cosecant, Secant, and Cotangent. In this chapter we'll introduced three more trigonometric functions: the cosecant, the secant, and the cotangent. These functions are written as csc( ), sec( ), and cot( ) respectively.
This unit looks at three new trigonometric functions cosecant (cosec), secant (sec) and cotan-gent (cot). These are not entirely new because they are derived from the three functions sine, cosine and tangent. 2. Definitions of cosecant, secant and cotangent. These functions are defined as follows:
The sine, cosine and tangent of an angle are all defined in terms of trigonometry, but they can also be expressed as functions. In this unit we examine these functions and their graphs. We also see how to restrict the domain of each function in order to define an inverse function.
