Test 3F10

# Test 3F10 - Do NOT WRITE ON TWXS EXAM Math 111 Test 3...

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Unformatted text preview: Do NOT WRITE ON TWXS EXAM Math 111 Test 3 1.Fhm1mn-H1) 7r 7r 71' (a) —5 (b) —4 (c) 0 (c0 4 . 371' 2. Find the value of tan”1 (tan 371' 7r 7r 371‘ c — —— A —— l —— (m) 4 (b) 4 (c) 4 (c) 4 3. Solve the equation for x. 3 cos‘1 x = 7r «5 ﬂ 1 (a) 1 (b) 7 (C) '2— (d) '2‘ 4 Evaluate sin [’cos‘1 LOU—4 (a) —2\/§ (b) —\/§ (C) x/5 (d) W5 (e) (6) 0m Hllllllllllllllllllllllllllllllllllllllllll \ _ 30200914 ASHLEY MA ETIN M TH 1111 SEC, 001 S 002 (f) does not exist bola (e) does not exist (e) none of these (f) none of these \/§ _5_ (6) none of these 6. Write the trigonometric expression sin(cos_1 u) as an algebraic expression in u. (a) u V 1 + u2 (c) V l — u2 I (d) —\/ 1 —— U2 (e) none of these \/1+u2 6 7. Rewrite the expression 6 in terms of sine and cosine. (a) sin6 (b) cos6 (c) L (d) 1 sin 6 cos 6 tanv + cotv . 8. Rewrite the expression sec 1) csc ’0 metric identities. (a) 1 (b) sin'u (c) cosv (d) tanv sin6+cos6 sin6—cos6 9. S' If th ’ —— 1111]? 1 y e express1on COS 6 Sin 9 (a) sin 6 cos 6 (b) csc 6 sec 6 (c) sin 6 (cl) cos 6 (e) none of these 1n terms of sine and cosine, then simplify using trigono— (e) none of these using algebra and trigonometric identities. (e) tan 6 .u .. “11144 J._‘1 10. Simplify the expression (sin6 + cos 6)2 + (sin6 — cos 6)2 using algebra and trigonometric identities. (a) sin 6 cos 6 (b) 2 sin 6 cos 6 (c) 2 (d) 1 (e) 4sin 6 cos 6 . . SW 11. Use a sum or difference formula to ﬁnd the value of Sin 2 6 2 6 — 2 6 — 2 2 6 (a) H (b) H (C) g (d) g (9) ﬂ (f) none of these 12 4 12 6 8 12. Evaluate the expression cos 75° cos 15° + sin 75° sin 15°. 1 2 3 ' (a) O (b) 5 (c) ya: (d) 3g: (e) 1 . (f) none of these . . . _1 3 _1 4 13. Evaluate the express1on sm sm g + tan g . 18 20 22 24 (a) g (b) g % (d) (e) 1 (f) none of these 15 14. Use a half-angle formula and other trigonometric identities to ﬁnd the value of csc 2 2 2—\/§ 2—\/§ (a) W (b) —T\/—§ (c) ——7— (d) ——2———— (e) none of these 15. Find the value of c032 cos‘1 (a) 0.6 (b) 0.7 (c) 0.75 (d) 0.8 (e) 0.85 (f) none of these 16. Which of the following is equal to sinasin ,8. (a) groom — m — mm + mi (1») gloom — x3) + cos-(a + [3)] (c) l[sham + m + sin<a — mi 2 (a) gene + a — sm<a — mi (e) none of these 17. Determine the total number of solutions for the given equation. 2 cos 26 2 \/§ on the interval [0, 2w] I (a) O (b) 1 (c) 2 (d) 3 ' (e) 4 (f) none of these 18. 19. 20. '4 (a) O >=1onthe Lo| :1 Determine the total number of solutions for the given equation. tan (26 _— interval [05 2%] (a) 0 (b) l (c)? (d) 3 (e) 4 (f) none of these Solve the equation 3 sin(2:z:) + 3 sin :c = O on the interval 0 5 m < 271’. Give the sum of all the solutions. . .37? (a) 0 (b) 7r (C) 7 (d) 27r (e) 311- (f) none of these Solve the equation 5(1 — cos 9) = sin2 9 on the interval 0 _<_ 6 < 27r. Give the sum of all the solutions. (b) 7r (f) none of these .|,._.-‘L E0 10. 11. 12. 13. 14. 15. l—‘l—‘i—JH 9.005193 J>mtx1td§>waﬁtljbdwovbd§>tjob>tjtjom L\') O ...
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## This note was uploaded on 10/24/2011 for the course MATH 111 taught by Professor Stuff during the Fall '11 term at BYU.

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Test 3F10 - Do NOT WRITE ON TWXS EXAM Math 111 Test 3...

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