This article explains in detail , strategy for preparation of iit jee advanced exam.
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IIT-JEE D BLOCK
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Mathematics Concept Book for IIT-JEE is primarily a revision book for engineering aspirants and with detailed theory students can revise complete syllabus more frequently. The purpose of theory boo...
Mathematics Concept Book for IIT-JEE is primarily a revision book for engineering aspirants and with detailed theory students can revise complete syllabus more frequently. The purpose of the…Descrição completa
Inorganic question bankFull description
Mathematics Concept Book for IIT-JEE is primarily a revision book for engineering aspirants and with detailed theory students can revise complete syllabus more frequently. The purpose of the…Full description
iit jee preparation tips
iit jee preparation tipsFull description
iit jee preparation tipsFull description
Mathematics Concept Book for IIT-JEE is primarily a revision book for engineering aspirants and with detailed theory students can revise complete syllabus more frequently. The purpose of the…Full description
In view of the new pattern in IIT-JEE ,this book provides ample scope to the engineering aspirants to practice quality questions in Mathematics.This book is completely objective in its natur…Descrição completa
Foundation topics for class 9 for IIT-JEE
Foundation topics for class 9 for IIT-JEEFull description
Apex institute for IIT-JEE is the institution of making IITians in the Ghaziabad. It is the Institute in Indirapuram to making IITians (Eng..). Its mission is to upgrade the teaching profession by...
Trigonometry for IIT JEE – 2013 2013
Q1. If
1 1 2 ......
tan 1
n
2
prove that
sin 1 sin 2 ...... sin n
tan n
cos 1 cos 2 ...... cos n
Q2. Find all values of lying between
0
{
and 2 , satisfying the
r sin = 3 . r 4sin = 2 3 1
equations
{
Q3. Let A= { :2cos2 sin 2 } and B = :
Q4. Find all the values of in
− , 2
2
}
3 2 2
. Find A ∩ B .
which satisfy the equation
1− tan 1 sin2 =1 tan . Q5. Find the value of x in − , which satisfy the equation 1 ∣cos x ∣∣cos x ∣∣cos x ∣ . ..... ∞ 8 = 43 . 2
3
Q6. Solve for real x and y : Q7. If
−1
cos
cot
2
x y tan2 x y y 2 2 y − 1= 0 .
p p2 q2 2 p q −1 q 2 cos = then show that − cos = sin . a b a2 b2 a b
Q8. Solve for x : sin [ cos−1 cot 2tan−1 x ]=0 − − Q9. Find the value of cot 9 cosec 1
1
41 41 4
.
Q10. Shade the region in the x y plane corresponding to the truth set: x 0 , y 0 , x 2− 2 y y 2 0 , y sec x .
Dr. Dr. Rajiv K. Sharda
Trigonometry rigonometr y for IIT JEE 2013
1/3
Q11. Find the coordinates of the points of intersection of the curves y = cot x and y = sin3 x if − x . 2
2
Q12. Three circles touch one another externally. The tangents at their points of contact meet at a point whose distance from a point of contact is 4. Find the ratio of the product of the radii to the sum of the radii of the circles.
Let O be a point inside a ABC , such that ∢ OAB=∢OBC =∢ OCA= then show that cot = cot A cot B cot C . (II). Also prove that cosec 2 = cosec 2 A cosec 2 B cosec 2 C .
Q13. (I).
Q14. If the bisector of angle A of ABC meets the opposite side in D , A 2bc cos prove that AD = . 2 b c
1
Q15. In a ABC , the median of the side BC is of length
and it divides the angle A into angles of length of the side BC .
0
30
and
11− 6 3 0
45
. Find the
Q16. In a ABC having sides a , b , c , if C =600 prove that 1
ac
1
b c
=
3
a b c
.
Q17. Find the greatest angle of the triangle whose sides are x 2 x 1 , 2 x 1 and x 2 −1 .
0
1 Q18. Show that tan 88 = 3 2 2 1 2 Q19. Prove that : cos
2 3 7 1 ×cos × cos × ......× cos = 7 15 15 15 15 2
Q20. Prove that: cos2 = 2sin 2 4cos sin sin cos2
Dr. Rajiv K. Sharda
Trigonometry for IIT JEE 2013
2/3
Q21. IIT JEE 2011 Let P ={ :sin −cos = 2cos } and Q = { :sin cos = 2 sin } be two sets . Then (A). P ⊂Q and Q − P ≠ (B). Q⊄ P (C). P ⊄Q (D). P =Q Q22. IIT JEE 2011 The positive integer value of n 3 satisfying the 1 1 1 = equation sin 2 3 is ______. sin sin n n n
∣
1
tan
Q23. IIT JEE 2011 If f = −tan 1 −1 −tan f : 0 is ______. 2
{
1
∣
tan 1
then the set
}
Q24. The number of all possible values of where 0 , for which the system of equations
y z cos3 = x y z sin3 2cos3 2sin3 x sin 3 = y z x y z sin3 = y 2 z cos3 y sin3 have a solution