Class 11 maths jee Brilliant Pala class notes - Trignometry QP
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Course
JEE
Institution
JEE
Master trigonometry with Class 11 Maths JEE Brilliant Pala class notes. Gain comprehensive insights, examples, and techniques to excel in JEE exams. Boost your understanding of trigonometry with this invaluable resource
2 5
1. The value of sec cos ec
3 6
A) 2 B) -2 C) 4 D) 0 E) 0
2. tan 1o + tan89o =
1 2 2 1
A) B) C) D)
sin1o sin 2o sin1o sin 2o
3. The value of sec 2 cos ec2 =
A) tan 2 cot 2 B) sec 2 .cos ec2
C) sec.cosec D) sin 2 cos 2
4. 2 cos15o sin15o =
A) 3 B) 2 C) 1 D) 2
1 cos ec2 sec 2
5. If is an acute angle and tan = then, =
7 cos ec2 sec2
1 5 3
A) B) C) 2 D)
2 4 4
4 x
6. If cos x and x 0, then cos =
5 2
1 2 1 2
A) B) C) D)
10 5 10 5
7. If sin cos ec 2 then sin 6 cos ec 6
A) 0 B) 1 C) 2 D) 23
8. If and then cot .cot
2 2 4 4 4
A) 0 B) –1 C) 1 D) –2
9. cos ec10o 3 sec100
1
A) 2 B) 4 C) 3 D)
2
,10. cos 20 cos100 cos140 =
1 1
A) B) C) 3 D) 0
2 3
11. If A+B+C = 2
, then sin 2 A sin 2 B sin 2 C =
A) 1–sinAsinBsinC B) 1+2sinAsinBsinC
C) 1–2sinAsinBsinC D) 2+2sinAsinBsinC
1
12. If sin 2 cos , 0 2 then =
4
2 5 2 2 5
A) , B) , C) , D) ,
3 3 3 3 6 3 3 3
sin x sec x tan x
13. If 9 where x 0, then x =
cos x cos ecx cot x 2
A) B) C) D)
4 3 2
14. If the angle is in the third quadrant and tan = 2, then sin is equal to
2 2 5 5
A) B) C) D)
5 5 2 2
1
15. If tan and lies in the first quadrant, then cos is
5
1 1 5 5
A) B) C) D)
6 6 6 6
x y x y x 2 y2
16. If cos sin 1 and sin cos 1 then 2 2 is equal to
a b a b a b
A) 0 B) 2 C) –1 D) 1
tan145o tan125o
17. If tan 10 = k then
o
1 tan145o.tan125o
2k 2k 1 k2 1 k2
A) B) C) D)
1 k2 1 k2 1 k2 1 k2
sin cos
18.
1 cot 1 tan
A) 0 B) 1
C) cos sin D) -1
, 19. If a cosA + b sin A = 1 and a sin A - b cos A = 3 then a2 + b2 =
A) 10 B) 9 C) 8 D) 11
a a sin b cos
20. If tan then the value of is
b a sin b cos
a 2 b2 a 2 b2 a b
A) 2 B) 2 C) D)
a b2 a b2 a b2 2
a b2
2
cos(90 ) sec() tan(180 )
21.
sin(360 ) sec(180 ) cot(90 )
A) 2 B) 1 C) –1 D) 0
sin cos
22. If 2 , then the value of ' ' is
cos sin
A) 90° B) 60° C) 45° D) 30°
23. If sin cosec cos sec K tan 2 cot 2 then K =
2 2
A) 9 B) 7 C) 5 D) 3
sec x 1
24. If x , then =
2 sec x 1
1
A) 1 B) -1 C) 0 D)
2
27. If secA – tanA = a, then sinA =
1 a2 1 a2 2a 1 a2
A) B) C) D)
1 a2 1 a2 1 a2 1 a2
28. cos 2 24 o cos 2 6o
A)
5 1
B)
5 1
C)
5 1
D)
5 1
2 4 8 8
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