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Title: jee practice questions
Description: this is for those student who is preparing for jee and want to iit colleges
Description: this is for those student who is preparing for jee and want to iit colleges
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Exercise-1
a Marked questions are recommended for Revision
...
Find the radian measures corresponding to the following degree measures
() 15°
A-2
...
4x
6
cosec
6
5T
(iv)
6
cos? 0
(i) cot? +cOsec bT, 3tan²
6
=6
Find the value of :
(i) sin 225°
() cos 210°
A-5
...
(i) 530
(ii) 240°
(i) tan 330°
(iv) cot (- 315°)
Prove that
()
cos(r +0) cos(-0)
= Cot? 0
...
(i)
coSe + sin (270° + 0)
(ii)
cos
sin (270° -0) + COs (180 +0) =0
...
Sketch the following graphs :
(ii) y = 2 tan x
0 y=3 sin 2x
B-2
...
a If tane + seco =
B-4
...
cos 40° +cos 20°
...
cos 40° + sin 100°
...
Show that : cos 2 0 cos
B-6
If A + B = 45°, prove that (1 + tanA)(1 + tan B) = 2 and hence deduce that tan
B-7
...
Show that
() sin? 750 - sin² 150 = 3I12
C-2
...
a If a and B are the solution of a cose + b sino = C, then show that cos(a + B) =
C-4
...
a Show that :cos²a + cos² (a + B) - 2cos a cos B cos (a + B) = sinB
C-6
...
If 0 <0 < r/4, then show that J2+J2(1+ COS 40) = 2 cos 0
C-8
...
Prove that
cos A-cos 3A
sin A+ sin 3A
sinA
COSA
=3
|1 - cot2-n
4
(0
+
(i)
(ii)
(iv)
cot
a
1
tan3a - tana
COscot 4a' seccosec 4a
...
cot 3a - cota
sec8A-1
tan 8A
sec 4A-1
tan 2A
coS A + sinA
cos A- sin A
coSA - sin A
CoSA + sinA
sin 39
2 tan 2A
C-10
...
Prove that 4(cos³ 20° + cos 40°) = 3(cos 20°+ cos 40)
C-12
...
Prove that:
tan 3x
2cos2x +1
tan x
2cos2x -1
(iü)
2sinx
tanx
sin 3x
tan 3x
=1
C-13
...
Trigonometry
C-14
...
For all values of a, B
...
cos+
...
a If x + y + z=
D-3
...
If x + y =T+Z, then prove that sin²x + sin'y
sin'z = 2 sin x sin y cos z
...
a If A+ B+ C = 2S then prove that
cos (S -A) + cos(S -B) +cos (S-C) +cos S =4 cos A cos
cos
C
D-5
...
If is the exterior angle of a regular polygon of n sides and 0 is any constant, then prove that
sin 0 + sin (0 + ¢) + sin (0 +26) +
...
p to n terms = 0
D-7
...
+ sin² n0 =
D-8
...
Find the extreme values of cos x cos
E-2
...
Find the greatest and least value of y
()
y= 10 cos?x
6 sin x cos x + 2 sin²x
()a y-3 coso ++5 cos +3
Title: jee practice questions
Description: this is for those student who is preparing for jee and want to iit colleges
Description: this is for those student who is preparing for jee and want to iit colleges