Pythagorean identities - Study guides, Class notes & Summaries

UCF MAC 1114C Fall 2023 Professor Kwon Covers: - Reciprocal Identities - Pythagorean Identities - Even-odd identities - Trigonometric substitution - Example problems + solving solutions

sin A = - Answer-opposite/hypotenuse cos A = - Answer-adjacent/hypotenuse tan A = - Answer-opposite/adjacent csc A = - Answer-hypotenuse/opposite = (1/sin A) sec A = - Answer-hypotenuse / adjacent = (1/cos A) cot A = - Answer-adjacent / opposite = (1/tan A) sin (-A) = - Answer-- sin A cos (-A) = - Answer-cos A sin A = ___ - Answer-=cos (90' - A) cos A = ____ - Answer-= sin (90'-A) sin 2 A = - Answer-2 sin A cos A cos 2 A = - Answer-cos^2 A - sin^2 A Pythagor...

formulas for Accuplacer advanced algebra and functions 59 Questions with Verified Answers Point slope form - CORRECT ANSWER y - y1 = m(x - x1) Sin - CORRECT ANSWER opposite/hypotenuse Difference of cubes - CORRECT ANSWER a³-b³=(a-b)(a²+ab+b²) Point Distance Formula - CORRECT ANSWER √(x2-x1)² + (y2-y1)² Area of a square - CORRECT ANSWER A=s² Area of a rectangle - CORRECT ANSWER A=lw Area of a parallelogram - CORRECT ANSWER A=bh Area of a triangle - CORRECT ANSWER ...

ACT Math Prep Test 44 Questions with Verified Answers How many questions are on the Math test? - CORRECT ANSWER 60 How many subscores are on the Math test? - CORRECT ANSWER 3 2) What are the subscores? - CORRECT ANSWER 1) Pre-Algebra Elementary Algebra (Algebra I) 2) Intermediate Algebra (Algebra II) Coordinate Geometry 3) Plane Geometry Trigonometry What is the benchmark score for Math to be considered college ready? - CORRECT ANSWER 22 True or False: Math is the only se...

Accuplacer Exam 136 Questions with Verified Answers Define - "ordered pairs" - CORRECT ANSWER = (x, y) = a single point on a coordinate plane Define - "origin" - CORRECT ANSWER = (0,0) = the point where two axes meet Explain - "quadrants" - CORRECT ANSWER = when the two axes (x and y) cross they form 4 quadrants Explain what - "the distance" means Define - "distance formula" for a line(s) - CORRECT ANSWER = "distance" - the length between two points on a plane - (x1...

The (Limit) Definition of the Derivative F'(X) - answer- Mean Value Theorem - answer-Suppose y=f(x) is continuous over a closed interval [a,b] and differentiable on the interior (a,b) then there is at least 1 point "c" such that The Definition of Continuity at x=a - answer- First Fundamental Theorem of Calculus - answer- Second Fundamental Theorem of Calculus - answer- The Extreme Value Theorem - answer-If f is a continuous function on a closed interval [a,b], then f attains an...

formulas for Accuplacer advanced algebra and functions 59 Questions with Verified Answers Point slope form - CORRECT ANSWER y - y1 = m(x - x1) Sin - CORRECT ANSWER opposite/hypotenuse Difference of cubes - CORRECT ANSWER a³-b³=(a-b)(a²+ab+b²) Point Distance Formula - CORRECT ANSWER √(x2-x1)² + (y2-y1)² Area of a square - CORRECT ANSWER A=s² Area of a rectangle - CORRECT ANSWER A=lw Area of a parallelogram - CORRECT ANSWER A=bh Area of a triangle - CORRECT ANSWER ...

ACT Math Prep Test 44 Questions with Verified Answers How many questions are on the Math test? - CORRECT ANSWER 60 How many subscores are on the Math test? - CORRECT ANSWER 3 2) What are the subscores? - CORRECT ANSWER 1) Pre-Algebra Elementary Algebra (Algebra I) 2) Intermediate Algebra (Algebra II) Coordinate Geometry 3) Plane Geometry Trigonometry What is the benchmark score for Math to be considered college ready? - CORRECT ANSWER 22 True or False: Math is the only se...

Accuplacer Exam 136 Questions with Verified Answers Define - "ordered pairs" - CORRECT ANSWER = (x, y) = a single point on a coordinate plane Define - "origin" - CORRECT ANSWER = (0,0) = the point where two axes meet Explain - "quadrants" - CORRECT ANSWER = when the two axes (x and y) cross they form 4 quadrants Explain what - "the distance" means Define - "distance formula" for a line(s) - CORRECT ANSWER = "distance" - the length between two points on a plane - (x1...

What are the Pythagorean identities? - ANS-sin^2 θ + cos^2 θ=1 tan ^2 θ+ 1= sec^2 θ cot^2 θ+ 1= csc^2 θ What is the cofunction of sin θ - ANS-cos (90-θ) What is the cofunction of sec θ - ANS-csc (90-θ) What is the cofunction of tan θ - CONTINUES...