The number of solutions of the given equation where is ____.
0
1
2
3
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 general values of ( satisfying the equation 2sin2 ( -3 sin(-2=0 is
n(+ (-1)n (/6
n(+ (-1)n (/2
n(+ (-1)n 5(/6
n(+ (-1)n 7(/6
sec2 (= is true if and only if
x+ y (0
x=y, x(0
x=y
x(0, y(0
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