Tricks of Trigonometry Online Test

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
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 solutions of the given equation  where is ____.
0
1
2
3
Description:

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

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Kajal Sengupta
Physics teacher of 9th to 12 th grade,A, AS level
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