Maths lover

(MATHEMATICS)
1. If 10sin 4  + 15cos4  = 6 , then the value of 8. ( ) ( ) ( )
16sin 20 sin 40 sin 80 is equal to:
27cosec6  + 8sec6 
is: (1) 3 (2) 2 3
16sec8 
2 3 (3) 3 (4) 4 3
(1) (2)
5 4
3 1  2   4   6 
(3) (4) 9. The value of cos   + cos   + cos   is
5 5
 7   7   7 
equal to:
2. ( )(
The value of sin70 cot10 cot 70 −1 is ) (1) -1 (2) −
1
2
(1) 0 (2) 1
1 1
3 2 (3) − (4) −
(3) (4) 3 4
2 3

    3   5   7   9 
  10. 2sin   sin   sin   sin   sin   is
13    22   22   22   22   22 
 1
3. If    equal to
   r  
r =1  sin  + (r − 1)  sin  +
  4  
6   4 6   3 1
(1) (2)
16 16
= a 3 + b,a,b  Z then a 2 + b 2 is equal to: 1 9
(3) (4)
(1) 2 (2) 4 32 32
(3) 10 (4) 8
5 3
11. If cot  = 1 and sec  = − , where    
1 1 3 2
4. If tan15 + + + tan195 = 2a ,

tan 75 tan105 
and,     , then the value of tan( + ) and
2
 1
then the value of  a +  is: the quadrant in which  +  lies, respectively
 a
are
(1) 4 (2) 4 − 2 3
1
3 (1) − and IVth quadrant
(3) 2 (4) 5 − 3 7
2 (2) 7 and Ist quadrant
(3) -7 and IVth quadrant
5. ( 2 
The value of 36 4cos 9 −1 4cos 27 −1 )( 2 
) (4)
1
and Ist quadrant
7
(4cos2 81 −1)(4cos2 243 −1) is
(1) 54 (2) 18 12. The number of elements in the set
(3) 27 (4) 36 
S = [−4,4]:3cos2 2+ 6cos2−10cos2 + 5 = 0

is
6. The value of tan 9 − tan 27 − tan 63 + tan81 is


 2 4 8 16
13. ( ) ( )
The value of 2sin 12 − sin 72 is:
7. 96cos cos cos cos cos is equal to
33 33 33 33 33 5(1 − 3) 1− 5
(1) (2)
(1) 3 4 8
(2) 2 3(1 − 5) 3(1 − 5)
(3) (4)
(3) 4 2 4
(4) 1

[1]