inverse trigonometry

1)If sin^-1x + tan ^-1x = , then 2x² + 1=

2)2 sin ^-1x = cos^-1 (1 -2x²) is true for
a. -1<=x<=1
b.-1<=x<=0
c.0<=x<=1
d.None of these

3)7)If sin^-1x+sin^-1y=2pi/3, cos^-1xâ€“cos^-1y=pi/3, the number of ordered pairs (x, y) is
a.0
b.1
c.2
d.None of these

4)tan(cos^-1x) = sin(cot^-11/2), x is ?

2 Answers

466

Himanshu Giria ·2014-05-30 17:59:19

2 _ A

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Himanshu Giria 4=âˆš5/3
Upvote·0· Reply ·2014-05-30 18:05:00
Himanshu Giria something is mising in q1...?? i ges ...!!!!!
Upvote·0· Reply ·2014-05-31 00:36:15
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oh sorry it's sin^-1x+tan^-1x=pi/2
the answers given are
q2: c ,
q4:√3/3

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Himanshu Giria oh yes the answer for 2 is c because rhs is always positive so the lhs also needs to be positive
Upvote·0· Reply ·2014-06-01 20:01:23
Raunaq Saha thanks
Upvote·0· Reply ·2014-06-02 19:36:53
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