Cos((-()=1 and cos((+() =1/e where (, ( ( [-(,(]. Paris of (, ( which satisfy both the equations is/are
0
1
2
4
/
t1 > t2 > t3 >t4
t4 > t3 > t1 >t2
t3 > t1 > t2 >t4
t2 > t3 > t1 >t4
The number of solutions of the pair of equations
2sin2(- cos2(=0
2cos2(- 3sin(=0
in the interval [0, 2(] is
zero
one
two
four
The number of all possible triplets (a1, a2, a3) such that a1 + a2 cos(2x) +a3sin2(x)=0 for all x is
zero
one
three
infinite
Let f(() = sin( + sin3(). Then f(() is
( 0 only when (( 0
( 0 for all real (
( 0 for all real (
( 0 only when ((0
If ( + (=(/2 and ( +( =(, then tan ( equals
2(tan ( + tany)
tan( + tany
tan( + 2tany
2tan( + tany
The number of integral values of k for which the equation 7 cos x +5 sin x =2k +1 has a solution is
4
8
10
12
If the angles of a triangle are in the ratio 5:4:3, how many degrees are there in the largest angle?
75o
90o
40o
45o
A ladder reaches a window which is 12 m above the ground on one side of the street. Keeping its foot at the same point, the ladder is turned to the other side of the street to reach a window 9 m high. Find the width of the street, if the length of the ladder is 15m.
21 m
12 m
9 m
None of these
The distance between the tops of two trees 20 m and 28 high is 17m. the horizontal distance between the two trees is:
9m
11m
15m
31m