{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

L27 - Lecture 27 Part I Section 4.3 Right Triangle...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
Lecture 27, Part I: Section 4.3 Right Triangle Trigonometry Def. Let u1D703 be an acute angle of a right triangle. The six trigonometric functions of the angle u1D703 are defined as follows. sin u1D703 = csc u1D703 = cos u1D703 = sec u1D703 = tan u1D703 = cot u1D703 =
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
ex. Find the values of the six trigonometric functions of u1D703 . 2 4 ex. If cos u1D703 = 3 4 , sketch a right triangle with acute angle u1D703 , and find the other values of the five trigono- metric functions of u1D703 .
Background image of page 2
Theorem: Cofunctions of complementary angles are equal. That is, sin(90 u1D703 ) = cos u1D703 cos(90 u1D703 ) = sin u1D703 tan(90 u1D703 ) = cot u1D703 cot(90 u1D703 ) = tan u1D703 sec(90 u1D703 ) = csc u1D703 csc(90 u1D703 ) = sec u1D703 a b c θ ex. Evaulate: 1) sin 36 cos 54 2) tan 56 cot 34
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Trigonometric Identities 1. Reciprocal Identities sin u1D703 = 1 csc u1D703 csc u1D703 = 1 sin u1D703 cos u1D703 = 1 sec u1D703 sec u1D703 = 1 cos u1D703 tan u1D703 = 1 cot u1D703 cot u1D703 = 1 tan u1D703 2. Quotient Identities tan u1D703 = sin u1D703 cos u1D703 cot u1D703 = cos u1D703 sin u1D703 3. Pythagorean Identities
Background image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}