Chapter 1 Final Practice Test

Convert 38^o45'12" to decimal degrees

• 38.95

• 39

• 38.753

• 39.753

Find the angle of the smallest positive measure with -239^o.

• 301^o

• -599^o

• 121^o

• 211^o

A tire rotates 780 times per min. Through how many degrees does a point on the edge of the tire move in 1 sec?

• 13^o

• 78^o

• 4680^o

• 280800^o

Find the measure of each marked angle.

• x = 25^o, y = 125^o

• x = 20^o, y = 25^o

• x = 20^o, y = 35^o

• x = 35^o, y = 20^o

A lifeguard located 30 yd from the water spots a swimmer in distress. The swimmer is 40 yd from shore and 150 yd east of the lifeguard. Suppose the lifeguard runs, then swims to the swimmer in a direct line, as shown in the figure. How far east from his original position will he enter the water? (Hint: Find the value of x in the sketch)

• 8.1 yd

• 450 yd

• 64.3 yd

• 150 yd

If (1, -6) is on the terminal side of an angle θ in standard position, find sin θ, cos θ, and tan θ

• Sin θ = ^√37/₃₇, Cos θ = ^-6√37/₃₇, Tan θ = -6

• Sin θ = -6 , Cos θ = ^√37/₃₇, Tan θ = ^-6√37/₃₇

• Sin θ = ^-6√37/₃₇, Cos θ = ^√37/₃₇, Tan θ = -6

• Sin θ = ^-6√37/₃₇, Cos θ = ^√37/₃₇, Tan θ = ¹/_-6

If cos θ > 0 and cot θ < 0, what quadrant does θ terminate?

• I

• II

• III

• IV

If cos θ = -³/₅ and θ is in quadrant II, find the values of the other trigonometric functions of θ.

• Sin θ = ⁴/₅, Tan θ = ⁴/₃, Csc θ = ⁵/₄, Sec θ = ⁵/₃, Cot θ = ³/₄

• Sin θ = ⁴/₃, Tan θ = ⁴/₅, Csc θ = ³/₄, Sec θ = -⁵/₃, Cot θ = ⁵/₄

• Sin θ = ⁴/₅, Tan θ = -⁴/₃, Csc θ = ⁵/₄, Sec θ = -⁵/₃, Cot θ = -³/₄

• Sin θ = ⁴/₃, Tan θ = -⁴/₅, Csc θ = ³/₄, Sec θ = -⁵/₃, Cot θ = -⁵/₄

Suppose θ is in the interval (90^o, 180^o). Find the sign of the function sin ^θ/₂.

• Positive

• Negative

• Zero

• Undefined

Find sin θ if csc θ = -10.

• -10

• 10

• -¹/₁₀

• ¹/₁₀