Trigonometric functions - Study guides, Class notes & Summaries
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Trigonometric Functions Questions and answers latest update
- Exam (elaborations) • 11 pages • 2024
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Trigonometric Functions Questions and answers latest update
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IB Maths DP 3.5Trigonometric Functions& Graphs
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IB Maths DP 
3.5Trigonometric Functions& Graphs
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Trigonometric Formula Sheet Definition of the Trig Functions
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Formula Sheet 
Definition of the Trig Functions 
 
 
Right Triangle Definition 
Assume that: 
 
Unit Circle Definition 
Assume θ can be any angle. 
 
0 < θ < π 
 
or 0◦ < θ < 90◦ 
y 
 
 
 
 
 
hypotenuse 
 
 
θ 
adjacent 
 
opposite	x 
 
 
sin θ =	opp 
 
hyp	csc θ =	hyp 
 
opp	 
sin θ =	y 
 
1	 
csc θ =	1 
 
y 
cos θ =	adj 
 
hyp	sec θ =	hyp 
 
adj	cos θ =	x 
 
1	sec θ =	1 
 
x 
tan θ =	opp 
 
adj	cot θ =	adj 
 
opp	tan θ =	y 
 
x	cot θ =	x 
 ...
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Calculus -- Sec 4.4_ Trigonometric Functions of Any Angle exam with complete solutions.
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What angles do the definitions of trigonometric functions cover? 
Any angle 
 
 
 
If Θ is an acute angle, what do the definitions of its trigonometric functions coincide with? 
Those given in the preceding section. 
 
 
 
To calculate the definition of trigonometric functions of any angle, what do you need? 
Θ, an angle in standard position with (x, y) a point on the terminal side of Θ 
 
 
 
r 
sq(x^2 + y^2) ≠ 0 
 
 
 
sinΘ 
y/r 
 
 
 
cosΘ 
x/r 
 
 
 
What does cotΘ equal if y = 0? 
U...
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University of Central Florida - MAC 1114C - 6.3 Trigonometric Functions of any Angle Notes - Kwon
- Class notes • 8 pages • 2023
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UCF MAC 1114C Fall 2023 Professor Kwon 
 
Covers: 
- Definitions of trigonometric functions 
- Signs of trigonometric functions 
- Definition of a reference angle 
- Quadrants and signs 
- Quadrants and ranges 
- Fundamental identities 
- Reciprocal identities 
- Pythagorean identities 
- Verifying Pythagorean identities 
- Example problems + solving solutions
And that's how you make extra money
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University of Central Florida - MAC 1114C - 5.5 Inverse Trigonometric Functions and Their Graphs Notes - Kwon
- Class notes • 13 pages • 2023
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UCF MAC 1114C Fall 2023 Professor Kwon 
 
Covers: 
- Horizontal line test 
- Inverse sine function + angle location 
- Domain and range of inverse sine function 
- Graph of inverse sine function 
- Notation of the inverse sine of x 
- Inverse function property 
- Inverse cosine function + angle location 
- Domain and range of inverse cosine function 
- Notation of the inverse cosine of x 
- Inverse tangent function + angle location 
- Domain and range of inverse tangent function 
- Graph of inv...
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University of Central Florida - MAC 1114C - 5.5 Inverse Trigonometric Functions Notes - Kwon
- Class notes • 13 pages • 2023
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UCF MAC 1114C Fall 2023 Professor Kwon 
 
Covers: 
- Horizontal line test 
- Inverse sine function 
- Notation of inverse sine of x 
- Graph of inverse sine 
- Inverse sine property 
- Inverse cosine function 
- Notation of inverse cosine of x 
- Graph of inverse cosine 
- Inverse cosine property 
- Inverse tangent function 
- Graph of inverse tangent 
- Inverse tangent properties 
- Example problems + solving solutions
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How to Succeed in Physics (and reduce your workload) Kyle Thomas, Luke Bruneaux, Veritas Tutors OpenStax
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How to Succeed in Physics (and reduce your workload) Kyle Thomas, Luke Bruneaux, Veritas Tutors OpenStax 
Table of Contents HOW TO SUCCEED IN PHYSICS (and reduce your workload) Introduction............................................................................................. 7 MATH CONCEPTS.................................................................... 8 The ideas behind the symbols................................................................ 9 ALGEBRA................................
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University of Central Florida - MAC 1114C - 6.3 Trigonometric Functions of Any Angle Notes - Kwon
- Class notes • 8 pages • 2023
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UCF MAC 1114C Fall 2023 Professor Kwon 
 
Covers: 
- Definition of trigonometric functions 
- Signs (Negative or positive) of trigonometric functions based on quadrant 
- Reference Angle 
- Reciprocal identities (csc, cot, tan) 
- Pythagorean identities 
- Example problems + solving solutions
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ALEKS - Domains and Ranges of Trigonometric Functions 100% Correct
- Exam (elaborations) • 2 pages • 2023
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ALEKS - Domains and Ranges of Trigonometric Functions 100% Correct Domain of y = cos(x) The set of all real numbers 
Range of y = sin(x) The set of all real numbers ranging from -1 to 1 
Domain of y = sin(x) The set of all real numbers 
Range of y = cos(x) The set of all real numbers ranging from -1 to 1 
Domain of y = sec(x) The set of all real numbers, except odd integer multiples of π/2 
Range of y = sec(x) The set of all real numbers less than or equal to −1 or greater than or equal to 1 ...
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