1800-150-456-789
FlagBACK
Flag Trigonometry> If sinAsinB -cosAcosB = 1 show that tanA+...
question mark

If sinAsinB -cosAcosB = 1 show that tanA+tanB=0

srishti , 9 Years ago
Grade 11
anser 3 Answers
ng29

Last Activity: 9 Years ago

multiply given given equation by  -1
we get cos(A+B)= (-1)   it means that A+B = pi
now tanA+tanB =0  we have to prove it 
sinA/cosA+sinB/cosB= 0  TAKING LCM  . we get sin(A+B)=0 it means we had to prove that sin(A+B)=0
and we have alredy concluded that A+B=pi  so   sin(pi) = 0
 
approve if useful

grenade

Last Activity: 9 Years ago

use the identity coa(a+b)
then you will get that 
a+b = pie
a= pie-b
substitute this value in the tan term and you will get the answer

grenade

Last Activity: 9 Years ago

approve if useful

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: 2 Years ago

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

Last Activity: 2 Years ago

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

Last Activity: 2 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: 2 Years ago