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Type 1: Real (B) Ixl Lyl #0 C) X+y 0, X #0

1. The document contains 18 multiple choice questions related to trigonometric functions and identities. 2. The questions test knowledge of trigonometric ratios, trigonometric identities, relationships between trigonometric functions, and properties of trigonometric functions. 3. Answering the questions requires evaluating expressions, applying trigonometric identities, determining relationships between functions, and identifying minimum and maximum values of expressions.

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ankit satpati
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220 views3 pages

Type 1: Real (B) Ixl Lyl #0 C) X+y 0, X #0

1. The document contains 18 multiple choice questions related to trigonometric functions and identities. 2. The questions test knowledge of trigonometric ratios, trigonometric identities, relationships between trigonometric functions, and properties of trigonometric functions. 3. Answering the questions requires evaluating expressions, applying trigonometric identities, determining relationships between functions, and identifying minimum and maximum values of expressions.

Uploaded by

ankit satpati
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Type 1

most
appropriat option (a, b, c or d
Choose the

then sec 0 tan 6 is equal to


1If
tan 4=
0=a-40
1 1
(a)-24 2a (b)-72a
(c) 2a
(d) 2

2 sec 9 = - where x e R, y e R, is true if and only if


(x+y)
(a) + y # 0 (6) * =y, x +0

(c)x=y
(d) x*0,y*0

if
3 s i n9 = + y ) 2

where x e R,ye R,gives real 0 if and only


3 sin 9
(a) x+y=0 b)*=y
(d) none of these
lyl #0
(c) Ixl =

/cosec = x+y where x e R, ye R,gives real0 if and only if


(b) Ixl=lyl #0
(a) x=y#0
of these
(d) none
c)x+y=0, x #0

2-3
2-4 Mathematics MCQ

sin "0 + cosec "0 is equal to


5.
f sin + cosec 6 = 2 then the value of

(a) 2 (b) 2
(d) none of these
(c) 2
and z = rcos e then the val.
X rsin 8 cos o,y =rsin 0 sin alue of
r+y+zisindependent of
(a) 0,0 (b) r,0

(c) r, (d)r

Let p=acos - bsin 0. Then for all real

(a) p>Va242 (b) p-Va2+b2

()-Va+bspsva+b (d) none of these

If 0<0< 180 then


V2+W2+V2+... +V2(1+cos 6)
there being n number of
2's, is equal to

(a) 2c0s b) 2c0si


(c) 2cos (d) none of these
2n+1

9. The value of tan+ 2tan


16 +4 is equal to
(a) cot b) cot .16
8

c) cot- (d) none of these


16

10. The value of sin 78° sin 66° sin 42°+ sin 6° is
-
-

6)-
(c)-1 (d) none of these
11. The value of v3 cosec 20 -

sec 20° is equal to


(a) 2
(b) 4
Functions an ldentities
2-5
2. Sin20o
() sin 40 (d) 4.Bin 20°
sin 40

12 The maximum value of 1 + sin


0 for real values of 9 is
(a) 3
() 4
(b) 5
(d) none of these
13, The minimum value of cos 20 + cos 0
for real values of 9 is

(b) 0
(c)-2
(d) none of these
The value of cosec 10°-
V3sec 10° is equal to
1
( (b) 2
(c) 4
(d)8
15. The least value of cos
0-6sin 0 cos +3sin "0+2 is
(a) 4+v10 (b) 4-V10
(c) 0 (d) none of these

16. If cos0 secfa,and sin "0 coseca are in AP then

°0 sec°a, and sin °e coseca are in


2
(a) AP (b) GP
(c) HP (d) none of these

5T 7T
17. If tan and tan a r e in AP and tany and tan are also in AP
9 18 18
then
(a) 2x=y (b) *>y
(c) x=y (d) none of these

18. If cos(x-y), cosx andcos(x+ y) are in HP then cos sec equals

(a) 1 (b) 2

(c) 2 (d) none of these

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