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Material Type: Exam; Class: Plane Trigonometry; Subject: Mathematics Main; University: University of Arizona; Term: Unknown 1989;
Typology: Exams
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is covered in the book but not here. This is simply meant to serve as a supplement to the problems in the book.
(a) θ = − 442 ◦ 278 ◦ (b) θ = 1826◦ 26 ◦ (c) θ = 688◦ 328 ◦
(a) θ = − 442 ◦^ - Quadrant IV
(b) θ = 688◦^ - Quadrant IV
(a) sin θ =
2 - Impossible (sin θ is bounded above by 1) (b) sec φ = 35 - Impossible (sec θ cannot be between -1 and 1 since cos θ = (^) sec^1 θ must be between -1 and 1) (c) tan α = 4, 558 - Possible
(a) cot(70 ◦) = ab (note we use the cofunction identity sin(20◦) = sin(90 − 70)◦^ = cos(70◦) (b) sec(70 ◦) = (^1) a (c) csc(20 ◦) = (^1) a (d) tan(20 ◦) = ab
(a) cot(135 ◦) = − 1
(a) π/2 = 90◦
(b) 430 = (^77400) π^ ◦
(c) 5π/7 = (^9007) ◦
(d) 2 = (^360) π ◦
(e) 3π/4 = 135◦
(f) 12π = 2160◦
(g) 1000 = (^180) π,^000
◦
(a) 225◦^ = 54 π
(b) 430◦^ = 4318 π
(c) 737◦^ = 737180 π
(d) 2π◦^ = π 2 90
(e) 3π/ 4 ◦^ = π 2 240
(f) 720◦^ = 4π
(g) − 1000 ◦^ = −^509 π
(h) − 547 ◦^ = 547180 π
(a) tan(2π/3) = −
(b) sin(3π/2) = − 1 (c) cos(− 4 π/3) = − 1 / 2
(a) θ = π/4 on a circle of radius 3 3 4 π^ units (b) θ = 3/2 radians on the unit circle 3 2 units
(a) θ = π/4 on a circle of radius 3 9 8 π^ units squared (b) θ = 3/2 radians on the unit circle 3 4 units squared
(a) 1 - No (b) 2 - Yes (c) 3 - Yes (d) 4 - No
sin(30◦) =
= sin(− 30 ◦) = −
