Describe the triangle used to find the trigonometric functions of 30° and 60°.

Respond accordingly.

Describe the triangle used to find the trigonometric
functions of 30° and 60°.
Does the following statement make sense? “The sine and
cosine are cofunctions and reciprocal of each other”.

Select only two (2) of the following statements below
and respond accordingly.

Do the trigonometric functions satisfy the definition
of function learned in algebra classes? Explain why or why not.
Is f(x)=cos x one to one: Explain why or why not.
Explain the steps to graph y=A sec(Bx-C)+D.
Explain the flaw in the following: If cos(-π/4)=√ 2/2, then cos^-1(√ 2/2)=-π/4.
Does the following statement make sense? “I used the
graph of y=3 cos 2x to obtain the graph of y=3 csc 2x.
Describe the restriction on the tangent function so
that it has an inverse function.

3. Select only two
(2) of the following statements below and respond accordingly.

Describe the pattern for the expansion of cos (u + v)
and cos (u – v).
Explain the process to derive the double-angle
formulas for sin 2θ and cos 2θ.θ
Explain why cos^2 x-cos x-12=0 has no solution.
What is the difference between the general solution to
a trigonometric equation and the solution over the interval (0,2π).

4. Select only
two(2) of the following statements below and respond according.

What is meant by solving a triangle?
Explain how to represent the bearing from point A to point B.
Outline the four (4) possible scenarios for SSA (the
ambiguous case) regarding the number of possible triangles to obtain when
applying the law of sines.
Why is the law of sine not an option to solve a
triangle given SAS or SSS?
If the measures of the three angles in a triangle are
known, can you solve for the length of the sides?

5. Select only two
(2) of the following statements below and respond according.
What does it mean ρ > 0 in an ordered pair (ρ, θ) in polar
coordinates?
Explain why a point in the plane can be represented by
infinitely many ordered pairs in polar coordinate.
Given a limacon with equation ρ = α+β cos θ ,
what effect on the graph does it have increasing α for β being
fixed?
Is the polar representation of a complex number ζ = α+βι unique?
Explain.
Explain how to find the sum ϖ+ω is
found geometrically.
Explain how vectors written in component form are added
or subtracted.

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