Trigonometric Functions · Question 18

Let ( + ) = - 110 and ( - ) = 38, where 0 < < 3 and 0 < < 4. If 2 = 3(1 - r 5) 11(s + 5), r, s N, then r + s is equal to .

The value of cosec 10 - 3 10 is equal to :

1. 2
2. 6
3. 8
4. 4

If for [- 3, 0 ], the points (x, y) = (3 ( + 3 ), 2 ( + 6 ) ) lie on xy + x + y + = 0, then 2 + 2 + 2 is equal to :

1. 75
2. 96
3. 80
4. 72

The number of solutions of the equation 2 2 + 5 2 = 2 3 5 2 in [- 2, 2 ] is :

1. 5
2. 7
3. 6
4. 9

If 10 4 + 15 4 = 6, then the value of 27 cosec6 + 8 6 16 8 is

1. 25
2. 35
3. 15
4. 34

The number of solutions of the equation 2x + 3 x = , x [-2 , 2 ] - \ 2, 3 2 \ is:

1. 4
2. 5
3. 3
4. 6

The number of solutions of the equation (4 - 3) x - 2 3 2 x = - 41 + 3, x [-2 , 5 2 ] is

1. 4
2. 3
3. 6
4. 5

If [-2 , 2 ], then the number of solutions of 2 2 2 + (2 - 6) - 3 = 0, is equal to:

1. 8
2. 6
3. 10
4. 12

If [- 7 6, 4 3 ], then the number of solutions of 3 cosec2 - 2( 3 - 1) cosec - 4 = 0, is equal to :

1. 7
2. 10
3. 6
4. 8

If r=113 \ 1 ( 4 + (r - 1) 6 ) ( 4 + r 6 ) \ = a 3 + b, a, b Z, then a2 + b2 is equal to :

1. 10
2. 4
3. 8
4. 2