{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# 6.3(three) - 4.Find the Values of the Trigonometric...

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

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

View Full Document

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 4.Find the Values of the Trigonometric Functions using Fundamental Identities Recigrocal Identities Quotient Identities Given sin 6’ — ﬂ and cos (9— — E 10 10 ﬁnd the value of each of the four remaining trigonometric functions of (9. 3 Fe J33 One: we!” ~ ’ E BJIO 3 / cote: 3 The. equatisn {if the unit circle is x2 + y?" = '1 < .1 But y = Sin 6 and 3;: = (:05 65 m LSin 9)): Biff} . " I Q 31112 6 + 0032 9 ...—.... 1 W antla + CID-32E? : L" [/0519 C509 6L 7.. Si‘g‘e.+cos 9 "3— l Fundamental Identities: sin (1‘ cos 9 tan. 9 = cat 9 r— , ( cos 6 \$1116 1 1 l. csc6= , \$669: cote): sm 9 cos 6 tan 9 singly? + c032 9 = 1 tanzﬂ + 1 2 secZ-B (:01:2 6 + 1 = (35::2 6 Find the exact value of each expression. Do not use a calculator. 1 005% 7r (a) —2——0+c052 35° (b) ~cot+ csc 35 sing 3 ”L . s ifs-e; + C0-5 3‘5" C9COLJTU \$iﬂQ—Z -‘;[;—:_;LLQ. Saki/£39 €039:— _; 7. 3&0 Col9 ”l 5 5. Find the Exact values of the trigonometric functions of an angle given one ofthe functions. ﬁnding the Valuea cf the Trigenamatric Functiena cf I9 when One is Kncwn and the Gamma-t cf 6 is Kncwn Given the value of 0118 trigonometric function and the. quadrant in which a iict. the exact valuc of cacti of the remaining five trigonometric functions can hc inund in cithcr cf two tvaya. Mct'hnd 1 Using a Circle {if Radius 3“ STEP "1.: Assign a valuc to two {if the three variables A: y. r based on thc value at i’hc givcu trigonometric function and thc itication of 1’. STEP 2: Draw a circic showing the location of thc angic 9 anti. thc point P = (x, 3;) that corresponds tn 8. The radius of the circle that ccm— ;___ taint P z (x, y) is r = "V’xz + yz. S’E'ECE‘ .3: Use the fact that. P lies on the circlc x2 + y? = r2 tn find the vaiuc cf thc miss-sing variable. STEP 4: Apply the theorem on page 377 ti) find the vaiucc cf the. remaining trigonometric functinna. lite-that! 2 Using Identities Uac appropriately acicctcd identities tn find the value at" each of the remain ing trigonometric functions. Given that tan6 = l and sin (9 > 0, ﬁnd the exact value of‘ each of the remaining ﬁve trigonometric functions. [in/19‘ (.m— d“? [o r—\ «tar—4' .; «lL Soﬁa. Y“ \$169+ C0875} : l Eta/39+! :. 5939 6999+! :: 6939' CSC 9 ...
View Full Document

{[ snackBarMessage ]}

### Page1 / 5

6.3(three) - 4.Find the Values of the Trigonometric...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online