{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}


43 and manipulate it into the identity we are asked

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: numbers by identifying a real number t with the angle θ = t radians. Using this identification, we define cos(t) = cos(θ) and sin(t) = sin(θ). In practice this means expressions like cos(π ) and sin(2) can be found by regarding the inputs as angles in radian measure or real numbers; the choice is the reader’s. If we trace the identification of real numbers t with angles θ in radian measure to its roots on page 604, we can spell out this correspondence more precisely. For each real number t, we associate an oriented arc t units in length with initial point (1, 0) and endpoint P (cos(t), sin(t)). y y 1 1 P (cos(t), sin(t)) t θ=t θ=t 1 x 1 x In the same way we studied polynomial, rational, exponential, and logarithmic functions, we will study the trigonometric functions f (t) = cos(t) and g (t) = sin(t). The first order of business is to find the domains and ranges of these functions. Whether we think of identifying the real number t with the angle θ = t radians, or think of wrap...
View Full Document

{[ snackBarMessage ]}