In a triangle ABC, Cot A/2 +Cot B/2 +Cot C/2 is equal to
In a triangle ABC, Cot A/2 +Cot B/2 +Cot C/2 is equal to
AyishaShadha , 6 Years ago
Grade 12th pass
Trigonometry> In a triangle ABC, Cot A/2 +Cot B/2 +Cot ...
1 AnswersRAHUL ROHILLA
Last Activity: 6 Years ago
If ABC is a triangle
A + B + C = π
=> A/2 + B/2 = π/2 - C/2
=> tan (A/2 + B/2) = tan (π/2 - C/2)
=> (tan A/2 + tanB/2) / (1 - tan A/2 tan B/2) = cot C/2
=> (cot A/2 + cot B/2) / (cot A/2 cot B/2 - 1) = cot C/2
=> cot A/2 + cot B/2 + cot C/2 = cot A/2 cot B/2 cot C/2
Provide a better Answer & Earn Cool Goodies
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
Ask a Doubt
Get your questions answered by the expert for free
Other Related Questions on trigonometry
In ABC, if cot A+cot B+cot C = cosecA cosecB cosecC, then prove that ABC is right angle triangle.
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
- Find the general solution of equation tan3∂=cot2∂
For all angles between -720 and +720
- Find the general solution of equation tan3∂=cot2∂
For all angles between -720 and +720
trigonometry
0 Answer Available
Last Activity: 2 Years ago
To prove : Cosec(45 degree - A)Cosec(45 degree + A) = 2SecA
To prove : Cosec(45 degree - A)Cosec(45 degree + A) = 2SecA
trigonometry
0 Answer Available
Last Activity: 3 Years ago
cos^2 13ºcos^2 47º+cos^2 73º =? …..................
cos^2 13ºcos^2 47º+cos^2 73º =? …..................
trigonometry
0 Answer Available
Last Activity: 3 Years ago
Derive a formula for the area of the triangle, given b, A, B, and C. That is, derive the formula: (b^2sinAsinC)/(2sinB)
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