Homework Help for Precalculus (page 577)

What is the definition of circular functions?

Definition of a Unit Circle

If is an even function, which statement is true about the graph of  must be true? 

(a) It has  a rotational symmetry about the origin.

(b) It has line symmetry about the line  

(c) It has line symmetry about the y-axis

(d) It has line symmetry about the x-axis.

Match the parametric equations with the correct graph (labeled I-IV).

(a) x = t cos(t), y = t, z = t sin(t),    t ≥ 0

(b) x = cos(t), y = sin(t), z = 1/(1+t²) 

(c) x = t, y = 1/(1+t²) , z = t²

(d) x = cos(t), y = sin(t), z = cos(2t)

Rewrite the following equation is standard form:

a.

b.

Suppose that and . What is ?     

Consider the following function. 

Find and .

What is u-v given u=<8,7> and v=<8,-4>?

Let u = <-5, -9>, v = <6, 8>. Find -8u - 2v.

Find the equation of the hyperboloid of on sheet passing through the points, 

Which expression is equivalent to 

(a)  

(b)  

(c)  

(d)  

What are the half-angle and double angle identities?

Find the value of the trigonometric functions of from the given information,

Use function notation to write g in terms of f.

Write the composite function in the form . [Identify the inner function and the outer function .]

Find the derivative .