Match each trigonometric function with its unit circle definition. note that angle a is correctly oriented for the unit circle definition, its terminal side intersects the unit circle at the point (x, y), and neither x nor y is equal to zero.

1. y
2. x
3. y/x
4. 1/y
5. 1/x
6. x/y

a. sin a
b. csc a
c. tan a
d. sec a
e. cos a
f. cot a

Aregular hexagon rotates counterclockwise about its center. it turns through angles greater than 0° and less than or equal to 360°. at how many different angles will the hexagon map onto itself?

Asap describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x). f(x)=-5.8sin x. g(x)=sin x. a: vertical stretch by a factor of 5.8, reflection across y-axis. b: vertical stretch by a factor of 5.8,reflection across x-axis. c: horizontal stretch by a factor of 5.8, reflection across x-axis. d: horizontal stretch by a factor of 5.8 reflection across y-axis.

Acoin bank containing only dimes and quarters has 12 more dimes than quarters. the total value of the coins is $11. how many quarters and dimes are in the coin bank?