For an acute angle ?, sin ? + cos ? takes the greater value when ? is:
30o
45o
60o
90o
The value of x for which sin (cot-1 (1+x))= cos (tan-1 x) is
1/2
1
0
-1/2
/
t1 > t2 > t3 >t4
t4 > t3 > t1 >t2
t3 > t1 > t2 >t4
t2 > t3 > t1 >t4
The number of values of x in the interval [0, 5(] satisfying the equation 3 sin2 x-7 sin x+2=0 is
0
5
6
10
/
3 (sin x- cosx)4 + 6 (sinx + cosx)2 +4 (sin6x+ cos6x)=
11
12
13
14
The number of real solutions of tan-1 is
zero
one
two
inifinite
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