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TEAM IGNITE, , UDUPI MANGALORE, TRIGONOMETRY, Class 11 - Mathematics, Time Allowed: 1 hour and 30 minutes Maximum Marks: 60, 1. Ifsin@ + cosecé@ = 2, then sin’@ + cosec’@ is equal to tw, a)2 b)1, c) none of these dj4, 2. The angle between the hour hand and the minute hand of a clock at half past three is {1, a) 54° b) 72°, c) 75° d) 63°, 3. cos 50° cos 10° - sin 50° sin 10° = 2 fi), a) 3 bt, c)1 d) a, 4, Ifcosecx= = and x lies in quadrant IV, then tan x = ? i), a) -/3 b) 3, oF o>, 5, cve( x48) cosl—P) =? (I, coal * 8) cos (= + 8), a) cot 0 b)-cor@, c) tan 0 d)-tand, 6 Iftan A= i, tan B= 3, then tan (2A + B) is equal to fy), a)1 b4, 3 dj2, 7. ‘Ifthe arcs of the same length in two circles subtend angles of 60° and 75° at their respective (1), centres, the ratio of their radii is, a)5:3 b)3:5, 0) 5:4 aj4:5, 8%. Which of the following is not possible? fi), A. cos@ = ae #0, B.sind= 2, C. tané— 100, D, secO = >

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10., , 11,, , 12., , 13., , 14,, , 15., , 16,, , 17., , 18., , aya b)B, oD ac, The extremum values of cos @ are, a)-land1 b) Oand1, , -v3, c xv, J 2, , , , and y/2 d) -1 and 0, If sin@ + sin’ @ = 1, then (cos? @+ cos’) =?, , a) None of these b)1, 2 ao, Ifsin @ = 4 and 4 <0< nm, then a, a3 b)-1, o> a1, Ifx=rsin@cosd, y=rsin@sin¢ and z =r cos 6, then x” + y* + z* is independent of, a)r,@ bh) 6,0, ong dr, , The angles of a quadrilateral in degrees are in AP and the greatest angle is 120°. The smallest, angle is, , a) (4)° ») (4)°, , ©) (2) a) (2)°, The value of sin (45° + 4) - cos (45° - @) is, , a)o b) 2sin@, , c)1 d) 2 cos 0, , cos 2x + 2 sin?x =?, , , , , , a)1 n+, 2 d) 4, IfA-B= =, then (1 + tan A)(1 - tan B) is equal to, a)2 bo, 1 d)3, sin 15° =?, /3 (vi-1), a) b) WD, we v2, o) WED) @ van, 22 2a, sin cos = cos Ssin z=?, +L va, a) i b) >, ©) 2 d) None of these, , (i), , 1), , 1), , (1), , (1), , (1), , (1), , 0), , (i), , (1), , 2/7

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19,, , 20., , 21,, , 22., , 23,, , 24., , 25., , 26,, , 27., , 28,, , 29., , 3°45’ expressed in radians is, , © Sar \C, a) (%) » (3), © (35)" ® (5), , cos 135° =?, , i. a, a) va n>, 1 =1, ot d) Zz, sin 75° =?, a) (v2-») by v3-), ave ava, ° (v5i4) ad) (v2), 2/2 2V2, , Ifa+ 8= 3, then the value of (1 + tan a) (1 + tan {3) is, , , , a)l b)2, c) -2 d) Not defined, Which is smaller, sin 64° or cos 64°?, a) sin 64° b) cos 64°, c) cannot be compared d) both are equal, sec 150° =?, 2, a) 2 b) Ww, =2, c)-2 dq) A, TB z ‘, Ifcos x = —— and F < x < x, thensinx=?, =! 1, a> bs, 3 =3, oF d) =, 162° when measured in radians, oe ye Tr \°, a) (>) ») (=, dx ye 5 \¢, (2) ® (7), Tind the value of sec 677., a)-1 b) v2, o-¥2 di, (sin 70° cos 10° - cos 70° sin 10°) = ?, a 4 >, ot a) 2, ¥ 2, con (HK? +6) see( 270° +6) sin( 180° +0), Tonec{ 0) coal 270-8) tan spay 1S equal to, a) cot 0 b) None of these, , 163], , 1), , Bt, , 1], , 1), , [1], , (1), , 0), , 18), , i), , 163], , 3/7

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30., , 31,, , 32., , 33., , 35., , 36., , 37,, , 38,, , 39,, , ©) cos @ d) sec @, If xis an acute angle and tan x = —z, then the value of eed seh ig, , vi’ sec? x tace? x, a} »4, 2 a 2, sec 120° =?, a) -y2 b)2, V2 d)-2, , When a clock shows the time 7 : 20, what is the angle between its minute hand and the hour, hand?, , a) 120° b) 100°, c) 60° d) 80°, sin 36° =?, a) None of these b) yo ab, 4, ° ie d) 10425, 7, (©)° in degree is, a) 302° b) 316°, ¢) 272° d) 288°, Write the value of cosec (= ), a) v2 b) - V2, =i 1, c) A d) Vi, IfA+ B+ C=, then SBAHee Eun’ is equal to, a)1 b) tan Atan B tan C, c) None of these ao, , tan 20° + tan 40° + 4/3 tan 20° tan 40° is equal to, , a) V3 b)1, , oe a, Which of the following is not correct?, , a) cos# = 1 b) sec@ = 4, , ©) tan @ = 20 @ sind = —2, The minimum value of 3 cos x + 4 sin x + 8is, , a) b9, , 3 dj7, , [1], , 16), , 163], , (i), , 0), , (1), , 163], , 0), , 0), , (1, , 163, , 4i7