Inverse Trigonometrical Functions Basic Level Properties of Inverse Trigonometrical Function. The domain of [Roorkee Screening 99] ( ) [ ] ( 0 ) ( ). The range of [DCE 00] ( ) ( 0 ). cos equal to [Pb. CET 997; DCE 00]. cos [EAMCET 98] 0. The value of cos cos cos [UPSEAT 00] 0 0 6. coscos 7 7 [EAMCET 00] 0 9 7. The value of cot 6 8. If cot [Karnataka CET 999] 9. If cos equal to [UPSEAT 00] 0
Inverse Trigonometrical Functions 0. cos cos [IIT 98] 6 6. The value of cos 7 0 0. If sec () equals [AMU 988] None of these. The value of [MP PET 00] o o 90 o o 0. The value of cos( ( )) cos cos. The value of which satfies the equation 0 6. If sec cosec y cos cos y [Orsa JEE 00] 7. If cos [MNR 978; MP PET 989] 8. If for some ( ) the value of cos [DCE 997; Karnataka CET 996; IIT 99] 0 0 7 0 9 0 9. sec (cosec ) equal to [Kurukshetra CEE 00] cosec (sec ) 0. (cos ) equal to cot None of these [IIT 99]
Inverse Trigonometrical Functions. (cot ) 00] [MNR 987; MP PET 00; DCE / ) ) ( (. cos( ) [MP PET 988; MNR 98] None of these 7. cotcos [Karnataka CET 99] 7 None of these. The value of cot cos equal to [Bihar CEE 97] None of these. EMBED Equation. 9 9 6. sec ( ) c osec (cot ) [EAMCET 00] 6 Advance Level 7. If cos 0 0 8. If (cos ) ( ) 0 0 0 9. The greatest and the least values of ( ) (cos ) are 8 8 7 8 None of these 0. If satfies the equation t t 0 there ets a value for
cos sec Inverse Trigonometrical Functions None of these. If f( ) sec f () real for. If r [ ] R ( ] [ ) None of these n r n r n r. n n the principal value of 7 cos (cos ) 7 ( ) n( n ) 7 sec (sec ) None of these None of these. The number of real solutions of ( y) ; where y y cos (cos ). The set of values of k for which k ( ) 0 for all real ( ) R None of these 6. cos. cos cos holds for R 0 0 Basic Level Sum and Difference of Inverse Trigonometrical 7. If cos cos y cos z y yz z [Karnataka CET 00] 0 8. The value of [AMU 00] 6 6 7 6 7 9. [DCE 999] None of these 0. If a b c the value of a ( a ) b ( b ) c ( c ) will be [UPSEAT 999] abc abc abc abc. If y A A [MP PET 988]
Inverse Trigonometrical Functions y y y y y y. If = [Roorkee 978 980; MNR 986; Karnataka CET 00] 6 6 None of these. If cos cos [AMU 978] 0. If cot cot cot [MP PET 99]. 8 9 6 None of these [AMU 976 977] 6. cos [MP PET 99; MNR 990] y 7. (where y 0 ) [EAMCET 99] y y None of these 8. cos 99] 6 7 9. = 9 = [IIT 98; EAMCET 988; MP PET 990; MNR 7 6 6 7 6 7 [EAMCET 99] cos Both and 0. cot equal to [Karnataka CET 99; MP PET 99] 6. If cos = [UPSEAT 99]
Inverse Trigonometrical Functions 6 0. A solution of the equation ( ) ( ) [Karnataka CET 99] = = = 0. If = [ISM Dhanbad 97] 6 8 8 8 None of these. If cosec [EAMCET 98] (d. 7 [Karnataka CET 99] cos 6. If are two angles of a triangle the third angle None of these 7. If cos cos y cos z y z yz 0 y z yz =0 y z yz y z yz 8. If y z [Karnataka CET 996] y z yz 0 y z yz 0 y yz z 0 y yz z 0 9. If y z y = [MP PET 99] yz z 0 yz yz Advance Level 60. If we consider only the principal values of the inverse trigonometric functions the value of cos (7) [IIT 99] 9 9 9 9 6. The sum of first 0 terms of the series cot cot 7 cot cot... [Karnataka CET 996]
Inverse Trigonometrical Functions 7 6 (00 ) 6 00 6. Sum of infinite terms of the series cot cot cot. None of these 6....... 7 8 n n to equal [Karnataka CET 000] 0 6. If y z y z y z K( y y z z ) where K = None of these 6. The sum of the infinite series 6...... n n n( n ) 66. If sum of the infinite series cot (. ) cot (. ) cot (. ) cot(. )... equal to 67. If y z the value of 00 00 y z equal to 0 0 y z 0 00 9 0 9 68. If are roots of the equation cos cos 0 69. If a a a... an an A.P. with common difference d d aa d aa... d a n a n ( n ) d a a n ( n ) d a a n nd a a n an a a a n Basic Level Inverse Trigonometric Ratios of Multiple Angles 70. a equal to [MP PET 99]
Inverse Trigonometrical Functions 8 a a a a a a a a a a a a 7. If A A [MNR 988; UPSEAT 000] None of these 7. ( 0.8) [MNR 980] 0.96 0.8 0.6 None of these 7. If cos( ) 9 [Roorkee 97] Only 7. cos 7 Only Neither nor [EAMCET 98] 7 cos None of these 7. 7 [EAMCET 98] 9 9 0 76. [Dhanbad Engg. 97] None of these a b 77. If = [MNR 98] a b a b ab b ab b ab a b ab 78. If equals [Pb. CET 00; AMU 99] 79. cot = [UPSEAT 986] 80. cos [Karnataka CET 00]
Inverse Trigonometrical Functions 9 0 0 0 0 Advance Level a b 8. a b [ISM Dhanbad 976] cos cos a b a b cos a b cos cos cos cos a a cos b a b cos b cos cos a cos b / / 8. If cot [(cos ) ] [(cos ) ]. Then [AIEEE 00] cot cot 8. The value of k cos k cos 6 k k where k k 0 k k k k k k k k k k k k k None of these 8. Solution of equation [ cos {cot( )}] 0 [UPSEAT 998; Roorkee 99] only only ( ) only All of these 8. The greater of the two angles A ( ) and B [IIT 99] B A C None of these 86. cos [Roorkee 986] ***