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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

Cos((-()=1 and cos((+() =1/e where (, ( ( [-(,(]. Paris of (, ( which satisfy both the equations is/are

4

2

1

0

/

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 solutions of the given equation where is ____.

3

2

1

0

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

Cos((-()=1 and cos((+() =1/e where (, ( ( [-(,(]. Paris of (, ( which satisfy both the equations is/are

4

2

1

0

/

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 solutions of the given equation where is ____.

3

2

1

0

The test is on various topics of Trigonometry. A number of questions are on general values. The questions are challenging .

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