1. Trigono 1st year TRIGONOMETRY 11. If A + B + C = 1800 then cosA2...
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1. Trigono 1st year TRIGONOMETRY 11. If A + B + C = 1800 then cosA2 - cos2 B + cos? C + 2 sinA cosB sinCs 22. EXERCISE-I 3) 2 4) 3 1) 0 2) 1 and B+y= a then Tan a is 2) Tanß+ Tany 4) 2Tanß+ TanyY TC a+B= -0 =k sec 20 4. 1. TC +0+Tan then %3D 23. 1) 2(Tanß+ Tany) 12. If Tan 3) Tanß+ 2Tany the value of k is V3 cosec 20°- sec 20%D 2) 4 3) 1 4) 2 1) 3 13. sin?a+ cos² (a+B)+2 sin a sinßcos (a+B) = 2) sin² B 1) 1 2) 2 3) 3 4) 4 %3D If A + B+ C = 90° then 3) cos² a 4) cos² B 3. 24 1) sin² a. Cos2A+Cos2B+ Cos2C-1 14. cosx + cosy = 1/3, sinx + siny sin(x+y) = 7 %3D SinA SinB SinC %3D 25 4) 1) 2 2) 4 3) 3 4) 1 24 25 3) 24 2. 1) 25 2) 25 1 If tan0= 8a - 32a 1 1) 10a(or) 10a 4. then sec0+ tan 0 = %3D %3D 1 15. If a,ß are complementary angles, sina= 2) (or)-10a 10a 1 then sin a cosß-cos a sin B = 1 (oг) - 16а 16a 4) 16a(or) 16a 3) 25 3) 7 - 1) 25 2) 25 4) -- If 630= T then 3 3 cos e cos2 0 cos4 0 cos8 0 cos160 cos32e = cos° 21° + cos 39° 16. 1 1) – 32 1 cos 21° + cos 39 2) 32 3) - 64 4) 64 Mi 3 1) 3) 4. 2) If cosx+cos y+ cosz =0 = sin x + siny + sin z 17. tan 20° + 2 tan 50° = ED X-y | then cos 1) tan30° 2) cot 20° 3) tan 20° 4) tan 40° 1) 2) 3) 4) 1 4) ± 2) ±- 3) ±. 27t = 3 then 3 TC 18. If tan 0+ tan 0+ + tan 0+ sin² 42° – cos² 78° = %3D 1 1) tan 30 = V5-1 1) 8. %3D 2) tan 30 = 1 V5+1 2) 8. V5+1 3) 4. V5-1 4) 4 3) tan 20 = 1 4) tan 40 = 0 If A + B+ C = 0º then cos²A + cos²B + cos²C = 19. If Sin A + Sin B = 3(Cos B-Cos A) then %3D %3D 1) 2cos cosB cosC Sin 3A + Sin 3B = %3D 2) 1- 2cosA cosB cosC 1)1 2) -1 3) 0 4) 2 3) 1+2cosA cosB cosC 20. If 1+ SinA 4) 2 + 2 cosA cosB cosC 1-SinA = SecA + TanA, then the quad- | 1 rants in which the angle A lies are 1 The value of cos 290° 3 sin 250º +. is equal 1) I, II 2) II, III 3) I, IV to 4) III, IV 2T 4 4) 21. If x = y Cos=z Cos then xy + yz + zx = V3 1) 2) 4 /3 3) 3/4 4Tt 3 3. 1) 0 2) 1 3) -1 4) 1/2 25 4/3 4) 3. II 2. 1. Trigono 1st year TRIGONOMETRY 11. If A + B + C = 1800 then cosA2 - cos2 B + cos? C + 2 sinA cosB sinCs 22. EXERCISE-I 3) 2 4) 3 1) 0 2) 1 and B+y= a then Tan a is 2) Tanß+ Tany 4) 2Tanß+ TanyY TC a+B= -0 =k sec 20 4. 1. TC +0+Tan then %3D 23. 1) 2(Tanß+ Tany) 12. If Tan 3) Tanß+ 2Tany the value of k is V3 cosec 20°- sec 20%D 2) 4 3) 1 4) 2 1) 3 13. sin?a+ cos² (a+B)+2 sin a sinßcos (a+B) = 2) sin² B 1) 1 2) 2 3) 3 4) 4 %3D If A + B+ C = 90° then 3) cos² a 4) cos² B 3. 24 1) sin² a. Cos2A+Cos2B+ Cos2C-1 14. cosx + cosy = 1/3, sinx + siny sin(x+y) = 7 %3D SinA SinB SinC %3D 25 4) 1) 2 2) 4 3) 3 4) 1 24 25 3) 24 2. 1) 25 2) 25 1 If tan0= 8a - 32a 1 1) 10a(or) 10a 4. then sec0+ tan 0 = %3D %3D 1 15. If a,ß are complementary angles, sina= 2) (or)-10a 10a 1 then sin a cosß-cos a sin B = 1 (oг) - 16а 16a 4) 16a(or) 16a 3) 25 3) 7 - 1) 25 2) 25 4) -- If 630= T then 3 3 cos e cos2 0 cos4 0 cos8 0 cos160 cos32e = cos° 21° + cos 39° 16. 1 1) – 32 1 cos 21° + cos 39 2) 32 3) - 64 4) 64 Mi 3 1) 3) 4. 2) If cosx+cos y+ cosz =0 = sin x + siny + sin z 17. tan 20° + 2 tan 50° = ED X-y | then cos 1) tan30° 2) cot 20° 3) tan 20° 4) tan 40° 1) 2) 3) 4) 1 4) ± 2) ±- 3) ±. 27t = 3 then 3 TC 18. If tan 0+ tan 0+ + tan 0+ sin² 42° – cos² 78° = %3D 1 1) tan 30 = V5-1 1) 8. %3D 2) tan 30 = 1 V5+1 2) 8. V5+1 3) 4. V5-1 4) 4 3) tan 20 = 1 4) tan 40 = 0 If A + B+ C = 0º then cos²A + cos²B + cos²C = 19. If Sin A + Sin B = 3(Cos B-Cos A) then %3D %3D 1) 2cos cosB cosC Sin 3A + Sin 3B = %3D 2) 1- 2cosA cosB cosC 1)1 2) -1 3) 0 4) 2 3) 1+2cosA cosB cosC 20. If 1+ SinA 4) 2 + 2 cosA cosB cosC 1-SinA = SecA + TanA, then the quad- | 1 rants in which the angle A lies are 1 The value of cos 290° 3 sin 250º +. is equal 1) I, II 2) II, III 3) I, IV to 4) III, IV 2T 4 4) 21. If x = y Cos=z Cos then xy + yz + zx = V3 1) 2) 4 /3 3) 3/4 4Tt 3 3. 1) 0 2) 1 3) -1 4) 1/2 25 4/3 4) 3. II 2.
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Related Book For
Vector Mechanics for Engineers Statics and Dynamics
ISBN: 978-0073212227
8th Edition
Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell
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