Home
Class 11
MATHS
If A ,B ,C ,D are angles of a cyclic qua...

If `A ,B ,C ,D` are angles of a cyclic quadrilateral, then prove that `cos A+cos B+cos C+cos D=0`

A

`2(cos A+ cosC)`

B

`2 (cos A + cos B)`

C

`2(cos A+ cos D)`

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

If ABCD is a cyclic quadrilateral, then the value of cos A - cos B + cos C - cos D =

If ABCD is a cyclic quadrilateral, then cos A+cos B is equal to

If ABCD is a cyclic quadrilateral, then the value of cosA-cosB+cosC-cosD is............... A) 0 B) 1 C) 2(cos B- cos D) D) 2 (cos A- cos C)

If ABCD is a cyclic quadrilateral, then cos A + cos B is equal to............. A) 0 B) cos C + cos D C) - (cos C+ cos D) D) cos C- cos D

If A+B+C=pi , prove that cos 2A +cos 2B +cos 2C=-1-4cos A cos Bcos C.

If A+B+C=pi , then cos 2A+cos 2B+cos 2C=

If A+B+C =pi, then cos ^(2) A+ cos ^(2)B + cos^(2) C is equal to

In triangleABC,A+B+C=pi ,show that cos2A+cos2B+cos2C=-1-4cosAcosBcosC

In triangleABC,A+B+C=pi ,show that cos^2A+cos^2B-cos^2C=1-2sinAsinBcosC

If A+B+C=pi then prove that cos^2 (A/2)+cos^2 (B/2)-cos^2 (C/2)=2cos(A/2)cos(B/2)sin(C/2)