1800-150-456-789
FlagBACK
Flag Trigonometry> If tanA+sinA=m and m^(2)-n^(2)=4\sqrt(mn)...
question mark

If tanA+sinA=m
and m^(2)-n^(2)=4\sqrt(mn)
then prove that tanA-sinA=n

Tanvir Mahmud Abir , 7 Years ago
Grade 10
anser 1 Answers
Vikas TU

Last Activity: 7 Years ago

Given as m=tan A+sinA 
and 
n= tanA-sinA 
now squaring them and subtratcing it is given also,
m2-n2= (tan A+sinA)2-( tanA-sinA)2 
=4tanA.SinA1 
mn= (tan A+sinA) (tanA-sinA) 
mn=tan2A-Sin2A 
mn= Sin2A(1/Cos2A-1) 
mn= Sin2A(1-Cos2A/Cos2A) 
mn= Sin2A(Sin2A/Cos2A) 
mn=Sin2A. tan2A 
sqrt(mn)=SinA.tanA2 
from 1, 
m2-n2=4tanA.SinA 
from 2, 
m2-n2=4sqrt(mn) 

Provide a better Answer & Earn Cool Goodies

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

Other Related Questions on trigonometry

question mark
In ABC, if cot A+cot B+cot C = cosecA cosecB cosecC, then prove that ABC is right angle triangle.
trigonometry
1 Answer Available

Last Activity: 2 Years ago

question mark
  • Find the general solution of equation tan3∂=cot2∂
For all angles between -720 and +720
trigonometry
0 Answer Available

Last Activity: 3 Years ago

question mark
To prove : Cosec(45 degree - A)Cosec(45 degree + A) = 2SecA
trigonometry
0 Answer Available

Last Activity: 3 Years ago

question mark
cos^2 13ºcos^2 47º+cos^2 73º =? …..................
trigonometry
0 Answer Available

Last Activity: 3 Years ago

question mark
Derive a formula for the area of the triangle, given b, A, B, and C. That is, derive the formula: (b^2sinAsinC)/(2sinB)
trigonometry
0 Answer Available

Last Activity: 3 Years ago