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# Pre-Cal 40S March 19, 2007

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Trig Identities practice problems, Pre-Test and some more practice.

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### Pre-Cal 40S March 19, 2007

1. 1. 3. 1-sec’ 6 is ldenucalln: I- : .,r/ ‘:9 = — -mﬂi. ’-> (a) -tan' 6 (b)ta11° 6 (c) cot*6 (d) -csc’ 6 (e) cos’ 6 2 . '1 C05 9 1‘ S I H9 '- I Cos"e Coir) c-5:70 I -/ -foil’! 0*? ” / ‘SCC 29 = 'i‘vlifl9
2. 2. -1 4. Giverlthat cos 6=? andsin6<0.thnn s1'n6equ. als
3. 3. i . . GIllE1'l“I1i11:'ifl: SI: fiH = : A-4. iii: H, El Z
4. 4. @3cos6 5/7107 5°59 +6059)’/49 7.5/"73 C050
5. 5. (2) Which expression is equivalent to cos; -+ cot , i- ? sin x + I (A) \$603‘ (3) CSC-' (C) cotx (D) tan x 091/ , _ :7m+ sir{Lrx, i- >v<)(, '9l/ ‘I’ l -—-————- 5I"m+l t0,_’i5°“ “" C___<>sLv_s'~_»__*>c«-cr>>'>c 7"°tl? WN) £Q'>‘)Ll§jg’L"‘ 0 3’ SI’'5(. '>i_l"‘v* (ﬁn
6. 6. (2 ) Which expression is equivalent to cos , i- + cm x sin x + I (B) CSC-I’ (C) cotx (D) tanx £r2>'7r-/ - 695,! ’ 1-—u—i___ (A) sccx 7'/ V {Mr 5/-», r 7&3»? (_g, ux =9: y + 401)! » [ {j‘*? --—: ._§___ I/ Ivy ZM¢r""q Cor 2’ g r%q<. Q) / ?
7. 7. (1) Sirnpljfy: siI1(3.1' + at) (A) 511111‘ (B) cos 3 x ) — sin Ex (D) — cos 21'
8. 8. (2) The lenninal aim of angle 6 in siandaitl position passes tluough point (in, n). where m > 0. rl > 0. Detemiine the value of sin I’J't+ 6). {T9 (A) -n (B) -222. -tlm2+n2 1lm2+n2 n m. (C) T (D) T 1lm2 + 712 -ulna? + 7:2
9. 9. 1 «F (3) In the tiiangle ABC. 4ulgl'csA amIB arc both nadir. If cos A = : and sin}? = then the value of cos(A—B ) must be: 467425 J; C'oS(I9*-3) 4&5 (5) : >t‘- I‘= }— “‘
10. 10. (4-) Solve Ecosz .1’ + cos .1‘ - 1 = 0 algebmically where
11. 11. 1 + cos 2.' sin 2_' 1 Sad’ 9:)’ sec: .' - 1 tan . '
12. 12. cos (‘.1 8) = c0s 2 9-3111? 8 cos ('1 9) =1 — 33111 2 E?
13. 13. Which expression is equivalent to Sir{x + E) +Sin( 31) ?
14. 14. The rest of these questions may be used for extra practice for t0m0rr0w's test. Solve: sin 3.r+ tan 1‘: 3, 0 s. r<2:r (A)I.3I,4.34 (B)2.44,3.85 (C)I.3I, I.57,4.34,4.7I (D)0,2.44,3.I4_,3.85
15. 15. The expression cos 3x cos 2x — sin 3x sin 2x is equal to: (A) sinx (B) sin5.t (C)cosx (D) cos5.'
16. 16. Solve: Zcosz x -l = 0; 0 s x < 2n 7:: §_ Sn 4’4 (A) — 3 3'! (B) 3.
17. 17. Prove: 2 - 2 1 cos x—sm x=2cos . r—l
18. 18. More practice sin: x(l + tan: 1:) = tan: x
19. 19. And another one SOC: X4-CSCZ . l' = SCCl XCSC2 . '