1. Determine the following 3 side lengths: DO, AB, OC. Use the Primary Ratios, the Sine Law, and the Cosine Law at least once each. (***Note: Assume the DABCD has interior angles of 90°.***)

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter73: Achievement Review—section Seven
Section: Chapter Questions
Problem 51AR: Determine the sine, cosine, tangent, cotangent, secant, and cosecant of each of the following...
Question
1. Determine the following 3 side lengths: DO, AB, OC. Use the Primary
Ratios, the Sine Law, and the Cosine Law at least once each.
(***Note: Assume the ABCD has interior angles of 90°.***)
h
D
15
A
X
X
30°
60%
с
15
B
Transcribed Image Text:1. Determine the following 3 side lengths: DO, AB, OC. Use the Primary Ratios, the Sine Law, and the Cosine Law at least once each. (***Note: Assume the ABCD has interior angles of 90°.***) h D 15 A X X 30° 60% с 15 B
2. Here is an equation:
9csc²x - 23=-cscx + 3cot²x -
6
sinx
A) Simplify the equation, such that it resembles a quadratic function.
B) Determine the value(s) of "x" that satisfie(s) the equation.
Assume 0 ≤ x ≤ 360°.
(***Note: If you're having trouble simplifying the above equation, then
assume this equation 2sec²x-secx - 6 = 0.***)
(***Hint: Look for primary ratios that can be applied to a CAST
diagram; drawing a simple sketch could further help visualize the
solution.***)
Transcribed Image Text:2. Here is an equation: 9csc²x - 23=-cscx + 3cot²x - 6 sinx A) Simplify the equation, such that it resembles a quadratic function. B) Determine the value(s) of "x" that satisfie(s) the equation. Assume 0 ≤ x ≤ 360°. (***Note: If you're having trouble simplifying the above equation, then assume this equation 2sec²x-secx - 6 = 0.***) (***Hint: Look for primary ratios that can be applied to a CAST diagram; drawing a simple sketch could further help visualize the solution.***)
Expert Solution
steps

Step by step

Solved in 3 steps with 5 images

Blurred answer
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning