Page 1 :
COMPOUND ANGLES, MULTIPLE, ANGLES, SUB MULTIPLES ANGLES AND, TRANSFORMATION FORMULAE, , , , , , , , 1m 2m 3m | 4m | 5m | 6m | Total, 1(K) | 2(S+A)| - | - |1(K)] - | 10, , , , , , , , , , , , , , , , , , , , , , 1 MARK QUESTIONS, , (Knowledge), . Find the value of sin 75°., . Find the value of cos75°., . Find the value of sin 15°., . Find the value of cos 15°., . Find the value of sin 105°., . Find the value of cos 105°., . Find the value of tan 75°., . Find the value of tan 15°., . Find the value of tan 105°., , CwMOIDARWDN, , 1, 10. Ifsin 6 = > than find sin 20 [@ is <90°], , , , ll. Ifcos A= > than find cos 2A., , 12. Iftan x= than find sin 2x., , 1, Be, 13. Ifsin0= JL, than find tan 20., , v2, 14, Find the value of 3 sin 10°—4 sin? 10°, 15. Find value y : 4 cos’ 30°—3 cos 30°., 16. Express each the following as product of 2 trigono metric ratio., sin 50 + sin 0., 17. sin 40 + sin 30., , 97

Page 2 :
QUESTION BANK IT PUC, , 18,, 19., , cos 4A + cos 2A., cos 10°—cos 50°., , Express each of the following as the sum or difference of two trigonometric function., , 20., 21., 22., , 23., , sin 5x cos 3x., cos 4A sin 2A., 2cos 70° cos 10°., , ~(2ho40, , Express as a sum of or difference of 2 different trigonometric ratio, , 24., 25;, 26., 2., 28., , Nn, , . Show that, , 2 sin A. sin 3A., , 2 cos A. cos SA., , find the value of 4 cos*10°—3 cos10°., 2cos4x. sinx, , 2sin3x. cosx, , 2 MARKS QUESTIONS, , (Skill and Application), , 4 5, . Hfsin A= > and sin B= + (A, B < 90°), find sin (A + B) and cos (A—B)., , 5, , 5, . IfsinA= = and sin B= B find tan (A + B) and tan (A—B)., , wr, , 1, . ftanA= 2 and tan (A— B) = = find tan B., , . IfA +B = 45°, show that (1 + tan A) (1 + tan B) = 2., , cos2A _ sin2A, secA — cosecA, , , , , , =cos3A, , . Show that : vos( ZA} co Dh. —sin Es). 2A Bod, 3 3 3 3 2, , . Show that cot20 + tan® = cosec20., , , , 1 2, . IftanA= > tan B= 7 then find cot (A — B)., Show that tan (45° + A) = 42-4, . Show that tan ( an, , 98

Page 3 :
13., 14,, 15., , 20., , 2i., , 22., , 23., , 24., , 25., , 26., 27., , 28., , . Show that tan (45° — A) =, , . Show that sin 105° + cos 105°= 2°, , ifsinA=, . Ifsin A= 5, , BASIC MATHEMATICS, , I-tanA, I+tanA, , , , . FA+B+C= 180°, tan A = 1, tan B = 2 show that tan C = 3., , / 5 4 (x 3), . Ifsin A= 73, cos B= —5 poser and RBS . Find cos (A — B)., , Show that tan (45° + A) tan (45°-A)=1., Show that sin (A + B). sin (A — B) = sin?A — sin’B., Show that tan 75° + cot75° = 4., , 2, , . Show that sec 15° + cosec 15°= 2/6, , 5 24, . Ifcos A= 737 cos B= 35 7 (A, B < 90°) find sin (A-B)., , {2, , cos B= Fa (es A<180°) and (180° < B <270°) find tan (A+B)., , 5, , 1 1, If tan A= 2 and tan B = 3 find tan (A + B)., , 5 1, Iftan A= tan (A+ B) = 1 show that tan B= Tr, , cos2A 4 sin2A, secA — cosecA, , , , , , Prove that =cosA, , Prove that sin(45°+A)+cos(45°+A)= V2 cos A, , Prove that oo( E+ A) cos{ = A) -sin(Z+a)sin( 2 A) = L, 6 6 6 6 2, , sin(A +B), cos AcosB, Show that cos(120° + A) + cos (120°—A) =—cos A., Show that tan15° + cotl5°= 4., , Prove that =tanA+tanB, , 2tanA, , P, that sin 2A = ——_—rove that sin ivtA, , 99