Page 1 :
*, , 3)., B),, ing:, , sin 139, ° sin 29, , in the thing, , , , eee, tan (A +B) =, , Fae bd a, Fand tan(4 py Qn+1)4 4, yy, 108 A + sin B= m A, , , , , , , , , , , , , , =, fing, Me the Vales of tan 3.4 id, fan 2A and tan 28, Prove, that 2 sin (A +B) = m2, tan 30 tan @, , , , prove that: >t, 1~tan? 26 tan? 9, , , , tan A + tan B=aand cot 4, B +00t B =b, prove, yp tan A=xt2N B, prove that SiN(A—B), sin(a+B) =;, B if 0 lies in the first quadrant and cos 0 =, NB., , abe mymtrs, , that: cot (A+B) <1 -4, ap, , , , , , , , 1, +1, , , , 8, "7 then prove that:, , , , , , 1\23, hin, Ee Qn, % wim stan(s+ 3) tnx 3 ]-3.thenprve that Stax tane, 1-3 tan’ x, y, isin (@+B)=1 and sin(a-B)=2, where 0<a, B35 then find the values of, tan (+ 2B) and tan (2+)., , 1, , , , m, 3 Iftan A=", 4 and tanB= >, then prove that A -B =, , 4, Ifo, Bare two different values of ® lying between 0 and 2n which satisfy the equation, 6c0s 0 + 8 sin 0 = 9, find the value of sin (a+)., , 30 sin o.+sin B=a and cos. + cos =D, show that, , z t Pad, @ Sn (a+ P)=-33 (i) cos a+ B=, 3, Prove that :, A a1 = cot x=) = cot (e=b), sin (xa) sin (x-b) sin (a-b), I _ cot (x =a) + tan (x= b), ate savendie—P)ininn. coe”), 1 tan (xb) = tan (e=@), (it) sin (@~b), , ih, 05 (x = a) cos (xb), , sin «sin B — cos:a. cos B+, , 10, prove that 1 + cot a.tan B=0., 4 show that 2 cot (a.- B)= A,, , 3 lttano=x +1, tan, , , , ANSWERS, TE ot 5, e ay =), 1G Ss (i 2 - “, 56 uC) eae Daeg, Xe @ z en) -8 ) ‘, 4.187 53-12 6 (i) 0 (i) -V3, 7 5. 54123