Trigonometric functions - Study guides, Class notes & Summaries

IB Maths DP 3.5Trigonometric Functions& Graphs

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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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

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...

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

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...

Test Bank for Essential Calculus 2nd Edition By James Stewart Chapter 1-13 Complete Guide 1: Functions and Limits 2: Derivatives 3: Applications of Differentiation 4: Integrals 5: Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions 6: Techniques of Integration 7: Applications of Integration 8: Series 9: Parametric Equations and Polar Coordinates 10: Vectors and the Geometry of Space 11: Partial Derivatives 12: Multiple Integrals ...

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

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 ...