1800-150-456-789
FlagBACK
Flag Discuss with colleagues and IITians> Prove that tan^2(2a)-tan^2(a)/1-tan^2(2a)...
question mark

Prove that tan^2(2a)-tan^2(a)/1-tan^2(2a)tan^2(a) = tan(3a) tan(a)

Ojash , 6 Years ago
Grade 11
anser 1 Answers
kodam abhigna

Last Activity: 6 Years ago

as we all know (a^2-b^2)=(a+b)(a-b)----------------(1)
                 and    tan(a+b)=(tana+tanb)/(1-tana * tanb);------------------(2)
                           tan(a-b)=(tan a-tanb)/(1+tana * tanb);------------------(3)  
LHS:
        =[tan^2(2a)-tan^2(a)]/[1-tan^2(2a)*tan^2(a)]
         as per equation (1);
         =[{tan(2a)+tan(a)}{tan(a)-tan(a)}] / [{1-tan(a)tan(2a)}{1+tan(a)tan(2a)}]
           on rewriting ;
          =[(tan2a+tana)/(1-tan2a * tana)] * [(tan2a-tana)/(1+tan2a * tana)]
           rewriting the first term using equation(1)  and second term using equation(3);
          =tan(2a+a) * tan(2a-a)
          =tan3a * tana
          =tan3a tana
          =RHS
                therefore LHS=RHS;
            hence proved.                                                
 

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...

Other Related Questions on discuss with colleagues and iitians

question mark
Are core branches(Mechanical) in Top 3 NIT worth it ?
discuss with colleagues and iitians
1 Answer Available

Last Activity: 2 Years ago

question mark
My rank in JEE Advanced 2022 is 1871. Should I go for IIT Guwahati ECE or IIT Kanpur Mechanical and try for a branch change to CS or Electrical Engineering? Is changing your branch very difficult?
discuss with colleagues and iitians
1 Answer Available

Last Activity: 2 Years ago

question mark
What awaits me after jee and do you think it's worth it?
discuss with colleagues and iitians
0 Answer Available

Last Activity: 2 Years ago

question mark
Can i sacrifice board exams for jee mains as board exams are no where valueable as cuet and other will be seen for admission
discuss with colleagues and iitians
0 Answer Available

Last Activity: 2 Years ago

question mark
Is a student studying in IGCSE syllabus eligible for taking IOQP or IOQJS?
discuss with colleagues and iitians
0 Answer Available

Last Activity: 2 Years ago