Graphs of Tangent, Cotangent, Secant, and Cosecant

csc x=-2 squrt for pi < x < 3pi/2 A 5pi/4 B 7pi.6 C 4pi/3 D 7pi/4

A 5pi/4

state the domain and the range of the function f(x)=2csc(x/2) A domain: all reals, expect 2 range (infinite,2) B: domain: all reals, expect multiples of 2pi range:(-infinite,-2) (2,infinite) C domain: all reals, expect D domain: all reals, expect

B

Which function is represented in this graph? A y=tan (x+pi/2) B y=tan (x-pi/2) C y=tan (1/2x+pi/2) D y=tan (1/2x)

C y=tan (1/2x+pi/2)

Find approximate solution for the equation in the interval -pi < x < pi Round to three decimal places. tan x=2cscx a. -1.144, 1.144 c. -1.571, 1.571 b. -0.785, 0.785 d. 1.144

a. -1.144, 1.144

Match the function with its graph. 1 y=sec x 2 y=csc x 3 y=-sec x 4 y=-csc x

a. 1C, 2A, 3B, 4D

Match the function with its graph. 1 y=tan x 2 y=cot x 3 y=-tan x 4 y=-cot x

a. 1C, 2A, 3B, 4D

Convert the angle to decimal degrees and round to the nearest hundredth of a degree. 59'28' a. 59.47 c. 60.47 b. 59.28 d. 59.56

a. 59.47

Match the function with its graph. 1) y=-tan (x-pi/2) 2) y=tan (x+pi/2) 3)y=-cot(x-pi/2) 4) y=cot(x+pi/2)

c. 1D, 2A, 3C, 4B

Describe the transformation required to obtain the graph of the given function from the basic trigonometric graph. y=-7 sec x a. Reflection across the y-axis and horizontal stretch by a factor of 7 c. Reflection across the x-axis and vertical stretch by a factor of 7 b. Reflection across the x-axis and vertical translation up 7 units d. Reflection across the x-axis and horizontal stretch by a factor of 7

c. Reflection across the x-axis and vertical stretch by a factor of 7

Find approximate solution for the equation in the interval 0 < x < pi Round to three decimal places. tan x=5sin x a. -1.369, 1.369 c. -1.571, 1.571 b. 0, 1.571 d. 0, 1.369

d. 0, 1.369