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Vk Academy, 10th Maths Trigonometry MCQs, , , , , , Multiple Choi stions (a) 3/5 (b)3/4, , ple Choice Que: (4s oes, , 1. Trigonometry is branch of Mathematics a, in which we deal with the relationship 3. Ifsin@ = 7 then cos@ is equal to, between angle and sides of a triangle. j oer Exemplar], lal True (b) False (a) (b)—, (c)Cannot say (d) Partially True/False yb? =e a, , 2 Ifcos.A =~, then the value of tan A is gu (a)—2, , 5 [NCERT Exemplar] b pag
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9, 4. Ifcos® = ; then the value of, , Qsec"O + Qtan? 6 —Yis, , {a)2 (b)-2, (c)l (d)3, , 5. Ifx cos A =8 and l5cosec A = 8 sec A,, , then the value of x is, (a)20 (b) 16, (c)17 (d)13, 6. Ifasin A =5 and 7cosecd = 6 sec A,, then the value of o is, , 48 46, , (a) ie (b) 7, , (c) “ (d) None of these, a6, , 7. If@ is an acute angle and 4 sin@ = 3,, then the value of 4 sin?0 — 3cos?6 + 2is, , , , 45 35, lal (bl, 32 47, (cle ( dz, 8. Ifsin A ait then the value pa, 5 1+cosA, is, : 1, fae (ble, 3, (cl2 (a=, , 9. Ina APQR, 2Q =90°. If PQ =10 cm, and PR =15cm. Then, the value of, tan? P+sec?P +1 is, , 5 3, als (b)9 4, (e)> (d=, , 10. In AABG, if AB = BC, ZB =90°, then, the value sin A is, , 1 V3, , aa b)—, (a) E (b) 5, (c)0 (as, , 11. In AABC, if AB = 2BC, ZB = 90°, then, the value of sec A is, , A, , Bu Cc, , 1 v3, , lal (db), & 1, (ce) (dl,, , 12. The value of cos increase as @ increase., (a) True (b) False, , (c) Cannot say (d) Partially True/False, , 10, 13. Is tan? 30° + cot? 30° = z, , (a) True (b) False, (c) Cannot say (d) Partially True/False, , 14. sin 2A = 2sin Ais true when Ais equal to, , (a) 0° (b) 30°, (c)45° (d) 60°, 15. cot? 30° + cosec 30° + 3 tan” 30° is, equal to, (a)3 (b)1, (c)O (d)6, 16. The value op ae will be, 1—-tan* 30°, (a)cos60° (b)sin60°, (c) tan60° {d)cot 60°, , 17. If tan6 42 = 2, then the value of, tan@, , cosec is, 1, 1 =_2, (a) (b), (c)v2 ced, , 18. If x tan 45° cos60° = sin 60° cot 60°, then, the value of x will be, 1, , (a)1 ne, 1 Ss, lle (d-
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19. 7cos 30°+5 tan 30°+6 cot 60° is, , 8 ‘Mi, as (b)—, AT sara, or ae, 4, 90. If tan® ~ Tang = then sin? 9 is, 4 3, fae Gi, oe, 7 i, ‘ 1, 21. Ifsina = 3 and cos = * then the value, of (& + B) is, (a)60° (b)90°, (c)30° (d) 45°, , 22. Iftan A= and tan B= V3, then, , tan (A + B) is, , (a)O (b)—, , i, {c)1 (d) ©, , 23. If V3 tan = 2sin 6, then the value, sin? @ -— cos? @ is, , lala (b)-2, , 2 2, 3 -3, te (a>, , 24, If sin@ —cos@ =0, then the value of, sin* @ + cos* 6 will be [NCERT Exemplar], , 1 1, fae (d)5, 3, (cl (d)1, , 25. If m tan 30°cot60°= sin 45° cos 45°, then, the value of m will be, , 3, , 1 3, (cle (a7, , 2tan 30°, 26. The value of ——-—— is, , e value o: Ta ma? 30°, (a)sin60° (b)cos60°, (c) tan60° (d)sin30°, , , , , , 5e, 27. The value of iene is, 1+ tan? 45°, (a) tang0° {b)1, (c)sin4S° (d)O, tan 30°,, 28. The value of col60° is, (a) fel!, (c)2 (as, 29. If A, B, Care the angles of a AABC,, B+C),, then the value of tan 5 is, (a)oot2 (b}tand, (choot (c)oot4, , 30. Ifcos A +cos* A =], then the value of, sin? A+sin* Ais, , (a)O (b)1, (c)-1 (d)2, , 31. Is sin(A + B) = sin A + sin B?, (a) True, (b) False, , (c)Cannot say, ieartal True/False, , $2, 1,88, , , , = sec”@ — tan? 6?, 1+ sin, , (a) True, , (b) False, , (c)Cannot say, , (d) Partially True/False, , 2, 33. The value of 4 is, 1+cot” A, (a)sec?A, (b)-1, (c)cot? A, (d) tar? A, , 34, The value of (1 + tan® + secd), (1+ cot® — cosec@) is, (a)0 (b)1, (c)2 (d)-1
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35. If 4x =cosecO and De cot®, then the, x, , 1, value of af? - =| is, , %, ], a 4, lal; (b), 1, d)—, (c)2 ( Is, in@ tan8 ‘ ‘, 36. The value of + tan?@ — sec0is, 1-cos®, (a)sin@ cosé (b)sec@, (c) tand (d)cosecO, , 37. Ifsec@ =x + ~ then the value of, x, , sec@ + tan 6 is, , (a)4x (b)2x, , (c)x (a), 2, , 38. If V3 cot? 6 - 4cot@ + V3 =0, then the, value of tan? @ + cot? @ is, , 3 -10, (alg (b)—10 -20, ie) (a, 39. If tan®@ + secO = J, then the value of, sec@ is, Pai P+, or ar, 2 2, ( ee, , ! I, 40. If tan A =atanB and sin A = bsin B,, then the value of cos” A is, , , , , , , , 2 2, al a+], a fe, t Pa b?-1, b?-1 b?-1, c (a), f a a1, , 41. If cosec A — cot A = g, then the value of, 2, , , , r =! +cos A is, , gq’ +1, , (a)1 (b)0, (c)-1 (d)2, , 42. Ifx =rsin AcosB, ye=rsin Asin Band, z=rcos A, then the value of, et x? +27 is, , (art (b) °°, (c)? -1 (a)? +1, , 43, If sin? A =], then the value of, sin? A-cos? A is, , , , , , , , , , , , , , , , , , , , , , (a)1 (b) 0, (c)2 (d) None of these, 44, Match the following., List I List I, P. in 0" + sin 45° 1. I- v3, cos 90 9, Q. — cos60° - sin 60° 2. 1422, 3, R. sec 30° sin60° 3. 1, + cos 45° cosec 60°, S. cos? 30° — cos" 60° 4, i, sin? 60° — sin? 30° v2, PORS PORS, (a2 4 3.1 (b)3 14 2, (c)}2 3 41 (d)4 12 3, 45. Match the following., List I List I, 2, P. 1+ cot” 98 1. Qtan@, 1+ cosecO, 8 ; =, Q, _ cost 2. sin20 — cos? 6 2, cosec@ +1 —_—_, cox cos 6 sin8, cosec@ —1, , , , R. tan?@+cot?6-2 3. (cosecO—cot 6)", , , , , , , , Ss. 1l-cosé 4. secO cot ®, 1+cos6, , PORS PQORS, , (a3 421 {(b)3. 14 2, , (c)2 3 41 (d)4 12 3
