Suppose that AABC is a right triangle with ZC = 90°. If AC = BC = 4, compute the following. (Enter your answers in exact form.) (a) sec A, csc A, cot A sec A = csc A = cot A = (b) sec B, csc B, cot B sec B = csc B = cot B = (c) (cot A) (cot B)
Suppose that AABC is a right triangle with ZC = 90°. If AC = BC = 4, compute the following. (Enter your answers in exact form.) (a) sec A, csc A, cot A sec A = csc A = cot A = (b) sec B, csc B, cot B sec B = csc B = cot B = (c) (cot A) (cot B)
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![**Right Triangle Trigonometry Problem**
Suppose that \(\triangle ABC\) is a right triangle with \(\angle C = 90^\circ\).
If \(AC = BC = 4\), compute the following. (Enter your answers in exact form.)
(a) **Calculate \(\sec A\), \(\csc A\), \(\cot A\)**
- \(\sec A =\) [ ]
- \(\csc A =\) [ ]
- \(\cot A =\) [ ]
(b) **Calculate \(\sec B\), \(\csc B\), \(\cot B\)**
- \(\sec B =\) [ ]
- \(\csc B =\) [ ]
- \(\cot B =\) [ ]
(c) **Calculate \((\cot A)(\cot B)\)**
- [ ]
**Note:**
- \(\sec x = \frac{1}{\cos x}\)
- \(\csc x = \frac{1}{\sin x}\)
- \(\cot x = \frac{1}{\tan x} = \frac{\cos x}{\sin x}\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd4a6d887-1d2d-4d6a-beb8-6f85b7a687ee%2Fd40b90a1-23ad-4f95-bdd4-91db5275595c%2Fi0wz5yv_processed.png&w=3840&q=75)
Transcribed Image Text:**Right Triangle Trigonometry Problem**
Suppose that \(\triangle ABC\) is a right triangle with \(\angle C = 90^\circ\).
If \(AC = BC = 4\), compute the following. (Enter your answers in exact form.)
(a) **Calculate \(\sec A\), \(\csc A\), \(\cot A\)**
- \(\sec A =\) [ ]
- \(\csc A =\) [ ]
- \(\cot A =\) [ ]
(b) **Calculate \(\sec B\), \(\csc B\), \(\cot B\)**
- \(\sec B =\) [ ]
- \(\csc B =\) [ ]
- \(\cot B =\) [ ]
(c) **Calculate \((\cot A)(\cot B)\)**
- [ ]
**Note:**
- \(\sec x = \frac{1}{\cos x}\)
- \(\csc x = \frac{1}{\sin x}\)
- \(\cot x = \frac{1}{\tan x} = \frac{\cos x}{\sin x}\)
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