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Name: _____________________________________ Math B Homework 3 M$6 If y = cos A(sec A ! cos A), then y = 2 2 1. (1) cos A (2) cos A ! sin A (3) sin A (4) cot A ! 1 The expression sec x ! sin x tan x is equivalent to 6. (1) csc x (3) sin x (2) sec x (4) cos x 1. 2. 5 2. If !A is obtuse and sin A = 3 , what is the exact value of cos A? Express as single trigonometric function: 7. (1 ! cos x)(1 + cos x) sin x 3. 4. If csc x ! "1, then cot 2 x is equivalent 1 + csc x 3. to (1) 1 " csc x (2) csc x " 1 (3) " csc x (4) csc x " cot x sec x ! cos x as a single tan x 4. trigonometric function for all values Express ! has the same 3 terminal side as an angle whose measure is 8. 2! ! (1) (3) " 3 3 5! 5! (2) (4) " 3 3 An angle whose measure is 9. If cos! = " 2 and sin ! < 0, find tan ! . 3 5. 6. 7. of x for which the fraction is defined. 8. If secx ! 1, then tan 2 x is equivalent 1 " sec x 5. to (1) 1 + sec x (2) sec x " 1 Visit SHAHOMEWORK.com (3) " 1 " sec x (4) " sec x If ! is the measure of an acute angle and cos! = sin 60º , then cos! equals 10. (1) 30º (2) 60º Page 1 of 2 3 (3) 2 1 (4) 2 9. 10. Created by J. Shahom (July 2005) 11. 2 and sin ! is negative, then 5 find the exact value of cos! . If tan ! = 16. Express in degree measure an 2! angle of radians. 5 11. 12. If cos x ! ±1, then 12. equivalent to (1) tan 2 x (2) sec 2 x cos x cos x # is 1 " cos x 1 + cos x (3) cot 2 x (4) sec x # csc x If sin A = b, then the value of sin A ! cos A ! tan A is equal to 17. (1) 1 (3) b 1 (2) (4) b 2 b 13. 14. Express sin 2 ! (1 + tan 2 ! ) as a single 13. trigonometric function for all values of ! for which the expression is defined. # "& The expression csc % ! ( is equivalent to $ 2' " 18. (1) 2 cos 3 (2) tan " 5 (3) 2 sin " 6 (4) cos " 15. 16. 14. Solve the equation 2(x ! 3) = ! 5 and x 19. Solve for x: 49 x = 7 x +1 17. express its roots in terms of i. 18. a , express log x in terms of 15. b log a and log b. If x = 20. Solve for n: log n 4 = 1 2 19. 20. Visit SHAHOMEWORK.com Page 2 of 2 Created by J. Shahom (July 2005)