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# PLANE TRIGONOMETRY MATH 1022

LSU
GPA 3.72

Staff

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COURSE
PROF.
Staff
TYPE
Class Notes
PAGES
6
WORDS
KARMA
25 ?

## Popular in Mathematics (M)

This 6 page Class Notes was uploaded by Madison Gottlieb Sr. on Tuesday October 13, 2015. The Class Notes belongs to MATH 1022 at Louisiana State University taught by Staff in Fall. Since its upload, it has received 22 views. For similar materials see /class/222638/math-1022-louisiana-state-university in Mathematics (M) at Louisiana State University.

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Date Created: 10/13/15
64a Right Triangle Trigonometry OBJECTIVE 1 The Right Triangle Definitinn nfthe Trignnnmetric Functinns quota m mgommm functions of angle Hare de ned as follows 5 mth hyp app h yp cos mth a hyp adj an a cot I M app 39Ihough rationalizing is not required simplifying Will always be required Simplifying means to remove all perfect squares from any radicals and to remove any common factors from the numerator and the denominator This includes both integer factors and radical factors Examples nf simpurg ing Ratlith Expressinns CnlculndeEsul Simpli catinn required Cnrnrtsimplj sd l l f 1 ans f i z L L 4 J17 4J6 2J5 2 J5 A L s 3 L L L f5 M X 7 J7 3 f3 I i 5 ans 5 J5 J5 J5 1 J27 2 2 J2quot J 7 NE 5 S OBJECT IVE 3 Understanding the Fundamental Trigonometric Identities The Quotient Identities sin 0 cos 0 cot 0 cos 9 sm 0 tang The Reciprocal Identities 1 sm 0 csc 0 csc 9 sm 0 cos 9 sec 0 sec 0 cos 0 tan 0 L cot 0 cot 0 tan 0 The Pythagorean Identities sin20cos201 1tan20sec20 1cot20csc20 OBJECTIVE 4 Understanding Cofunctions Two positive angles are said to be complementary if the sum of their measures is gradians or 90 Complementary angles always come in pairs The acute angles of every right triangle are complementary Cofunction Identities sin0cos 0 cos0sin 0 2 2 tan0cot 0 cot0tan 0 2 2 se00csc 0 cs00sec 0 2 2 OBJECTIVE 2 Using the Special Right Triangles There are two special right tn39angles the g 45 45 90 triangle and the 30 60 90 Tahlel The Trigonometric Functions for Acute Angles f and E 6 4 3 IT If R 8 30 45 60 6 lt 4 1 3 1 1 1 J3 sme 2 J5 2 9 J5 L 1 7 J5 E 1 lam i 1 J3 J5 OBJECTIVE 5 Evaluating Trignnnmetric Functinns using a Calculztnr o H hel aw

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