1.For what number B does y = tan(Bx) have the period 5. Explain.
2.Explain, without the use of a calculator, how to find the exact value of sec[sin-1(-12/13)], then find that value.

Write tan (sin-1 x), |x| < 1, as an algebraic expression in terms of x. Explain your answer. Explain, in your own words, how you can solve a right triangle when any two sides are given.

1.Why do you think it is usually preferable to start with the side containing the more complicated expression 2.when establishing a trigonometric identity? Find the values of a and b for which cos2θ = (2ab)/(a2 + b2) is possible.

1.Consider a right triangle with legs 3 inches and 4 inches. If θ is the acute angle opposite to the leg that has a length of 4 inches, find sin (2θ), and sin (θ/2).
2.Explain how you can derive the double angle identities for sin(2θ) and cos(2θ).

1.Which of the following is true
A. Every identity is an equation.
B. Every equation is an identity.
2. Write a short paragraph to explain the difference between an equation and an identity. Give examples to illustrate your answer.

1.The lengths of the diagonals of a parallelogram are 20 inches and 30 inches. The diagonals intersect at an angle of 35o. Find the lengths of the parallelogram’s sides. Explain your reasoning. (Hint: diagonals of a parallelogram bisect one another)
2.Explain how to find the unit vector in the direction of any given vector v.

1.Compare the polar equation of the circle r = 2 with its equation in rectangular coordinates. In which coordinate system is the equation simpler? Do the same for the equation of the four leafed rose r = sin 2θ. Which coordinate system would you choose to study these curves?
2.Compare the rectangular equation of the line y = 2 with its polar equation. In which coordinate system is the equation simpler? Which coordinate system would you choose to study lines?

1.For what number B does y = tan(Bx) have the period 5. Explain. 2...