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Ask iit jee aieee pet cbse icse state board experts Expert Question: TRIGONOMETRY
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icy_2291 (20)

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The equation sin-1(3x/5)+sin-1(4x/5)=sin-1x, has
a)3 roots
b)the roots whose sum is zero
c)roots which form an A.P.
d)no roots
 

Ishwarya
    
pritam (5)

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 the answer  IS A,B,C
THE ROOTS ARE -1,0,1
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cbg2007 (100)

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yes preetam is right
the answer is A,B,C

DO NOT FOLLOW MY WAY.
IT'S TOO DANGER.
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deepak_agarwal (534)

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first of all convert sin invrse to tan invrse and then use sum of tan inverse formula to get tan inverse on both sides....this brings the ans to above written b and c ans

a 2nd year IIT DELHI student, doing B.Tech in chemical engineering
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chirag (384)

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When you solve the equation you get,
x=1 or x=-1
But, you also get another root as '0' when you solve the eqn....
therefore,
x=-1,0,1
Therefore, correct answer:-
A,B,C.
 
If you want the soln please post the query...
 
 
please rate me........
 
thanx
 
 
 



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chirag (384)

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Deepak, it is not necessary ot convert into tan inverse........ It will be OK if you use directly sum of sin inverse..........



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rajat (284)

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someone  plzzz. post the soln.  i am not getting it

light travels the fastest ??? NO
wherever light goes it always finds that darkness has already got there
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chirag (384)

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We know that,
sin-1a+sin-1b=sin-1{asqrt(1-b2)+bsqrt(1-a2)}
 
You may use the same for 3x/5 and 4x/5,
where you can take
a=3x/5 and b=4x/5
 
please rate me...



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joyfrancis (1504)

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Im getting  B
 
 
x=plusminius2root2/3root3
 
 
 
what's the ans?

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chirag (384)

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Answer is -1,0,+1



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