19. If sec 2 A = cos ec(A-27 ), where 2A is an acute angle, find the value of A.
20. Prove that (sin A + sec A)? +(cos A + cosech)? = (1 + sec Acoseca)?
cos(A+B)=0
21. If
2, then find the values of A and B where A and B are acute angles.
sin -cos sin 0 + cose 2
22. Prove that sin 0 + cosesino - cos 2 sin? 0-1
23. If coseco + cot0 =p
, then prove that p²+1
and Sin(A-B)
-
-
-
cos
-p
-1
sec 0-1 sec @ +1
24. Prove that V sec 0 +1 'Vsec 0 - 1
-
+
= 2 coseco
AABC, sin(A+B-C)= cos(B+C - A)= T then find the angles A,B and C.
25. In
2 and
coto coseco +1 – 2 sec
26. Prove that cos eco +1' coto
3-4 sin? A 3-tan? A
27. If 8 , verify that 4 cos? A-3 1-3 tan? A.
28. If 15 tan? 0 + 4 sec? 0 = 23, then find the value of (seco + coseco) - sin’ 0.
27. sr Seca-17
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