UWO calculus 1501.pdf

# UWO calculus 1501.pdf - Trigonometric Functions...

• Notes
• 1

This preview shows page 1 out of 1 page.

You've reached the end of this preview.

Unformatted text preview: Trigonometric Functions Trigonometric Functions January 21, 2019 1 Trigonometric functions In this course Calc1501, the trigonometric functions are not part of the course outline, however, they appear almost everywhere in this course, so it is really necessary to remember those trigonometric functions. And the good news is that, instead of remembering so many formulas one by one, you only need to keep this hexagon diagram in your mind: sin θ cos θ 1 tan θ sec θ cot θ csc θ First let’s look at the three dark tirangles. In each dark triangle, the sum of the square of top 2 vertices is equal to the bottom vertex square, namely, sin2 θ + cos2 θ = 1; tan2 θ + 1 = sec2 θ; 2 (1) 2 1 + cot θ = csc θ. Secondly, the product of each pair of the diagonal vertices is equal to 1, namely, sin θ · csc θ = 1; cos θ · sec θ = 1; (2) tan θ · cot θ = 1. Finally, for each of the 6 vertices, it is equal to the product of its 2 neighbor vertices, namely, sin θ · cot θ = cos θ; cos θ · csc θ = cot θ; cot θ · sec θ = csc θ; csc θ · tan θ = sec θ; sec θ · sin θ = tan θ; tan θ · cos θ = sin θ. 1 (3) ...
View Full Document

• Winter '10
• Shafikov
• Uwo, English-language films, Summation, Binary relation, Cartesian product, tan θ, Calculus 1501

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern