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What will be the answer of these q with solution???

What will be the answer of these q with solution???

Question Image
Grade:11

2 Answers

Aamina
64 Points
4 years ago
For question no 26 ,
 
        2250  = 1000 +1250
 
Applying tan on both sides ,
 
tan 225 = tan(100+125)      
 
tan(100+125) = 1        [as tan 225 =1 ]
 
tan 100  + tan 125    =1   
1- tan 100. tan 125
 
tan 100 + tan 225 = 1 – tan100. tan125
 
tan 100 + tan 125 + tan 100. tan 125 = 1
 
hence option D is correct.  
Aamina
64 Points
4 years ago
For question no 25,
 
cosA  =  m.cosB
 
cosA  =  m
cosB
 
Applying componendo and dividendo,
 
cosA + cosB     =       m + 1
cosA – cosB              m -  1
 
2 cos [A+B] . cos  [B-A]  
            2                2         =    m+1     
2 sin  [A+B]  . sin  [B-A]           m- 1
            2                2                                      
 
cot [A+B] . cot [B-A]   =  m+1
         2               2          m-1
 
cot [A+B]  =  m +1   . tan [B-A]
        2          m - 1             2        
 
option [A] is the answer.
    
 

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