1.what basic trigonometric identity would you use to verify that cot x sin x = cos x? .
a. cos^2x+sin^2x=1.
b. cot x= cosx/sinx.
c. cos x= 1/sec x.
d. sin x= 1/csc x.
2.what basic trigonometric identity would you use to verify that sin^2x+cos^2x/cosx= sec x? .
a. sin x=1/csc x.
b. 1+cot^2x=csc^2x.
c. cos^2x+sin^2x=1.
d. cos x= 1/sec x

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

The diagram represents the polynomial 4x2 + 23x – 72. what is the factored form of 4x2 + 23x – 72? (4x + 8)(x – 9) (4x – 8)(x + 9) (4x + 9)(x – 8) (4x – 9)(x + 8)

Micheal is 4 times as old as brandon and is also 27 years older than brandon. how old is micheal