If A, B, C, D be the angles of acyclic q...

If `A, B, C, D` be the angles of acyclic quadrilateral, show that : `cosA +cosB+cosC+cosD=0`.

A

4

B

-2

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:

D

Topper's Solved these Questions

TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES AND FACTORIZATION FORMULAE
MARVEL PUBLICATION|Exercise MCQs|101 Videos
TRIGONOMETRIC FUNCTIONS
MARVEL PUBLICATION|Exercise MCQs|175 Videos

Similar Questions

Explore conceptually related problems

If A,B,C and D are the angles of cyclic quadrilateral, prove that: i) cosA + cosB+cosC+cosD ii) cos(180^(@)-A)+cos(180^(@)+B)+cos(180^(@)+C)-sin(90^(@))

In a cyclic quadrilateral ABCD, then find cosA+cosB+cosC+cosD=?

if ABCD is a cyclic quadrilateral, then find the value of cosA cosB - cos C cos D.

In any quadrilateral ABCD, show that: cosA cosB-cosC cosD="sin"A "sin"B-"sin"C "sin"D.

If ABCD is a cyclic quadrilateral, then the value of cosA-cosB+cosC-cosD is equal to

Let A,B,C,D be the angles of a quadrilateral . If they are concyc lic , then the value of cosA+cosB+cosC+cosD is

Let ABCD be a cyclic quadrilateral then Statement:1 sinA + sinB+ sinC + sinD=0 and Statement:2 cosA + cosB + cosC + cosD=0

MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES AND FACTORIZATION FORMULAE-MCQs

If, in a DeltaABC,tanA=1andtanB=2, then: tanC= (a) 1 (b) 2 (c) 3 (d) 4
Text Solution
|
If, in a DeltaABC,tanA=1andtanB=2, then: tanC=
Text Solution
|
The value of sin^2 75^0-sin^2 15^0 is 1//2 b. sqrt(3)//2 c. 1 d. 0
Text Solution
|
If DeltaABC is a right-angled at A, then: cos^2B+cos^2C=
Text Solution
|
sin^6A+cos^6A+3sin^2A.cos^2A=
Text Solution
|
If cos(A-B)=3/5and tan A tanB=2, then
Text Solution
|
If A, B, C, D be the angles of acyclic quadrilateral, show that : cosA...
Text Solution
|
If sin.alpha/2+cos.alpha/2=1.4, then: sinalpha=
Text Solution
|
If tanalpha+cotalpha=m then value of tan^4alpha+cot^4alpha is
Text Solution
|
If cos theta+cos phi=a and sin theta - sin phi=b, then: 2cos(theta + p...
Text Solution
|
If sinx+cosecx=2, then, for all n in N, the value of: sin^nx+cosec^nx=...
Text Solution
|
If sinA+sinB+sinC=(3sqrt3)/(2). then: DeltaABC is (a) isosceles (b) ri...
Text Solution
|
In triangle ABC, cos^2A + cos^2B - cos^2C = 1, then the triangle is ne...
Text Solution
|
If tanx=b//a, then: acos2x+bsin2x=
Text Solution
|
(sin^(2)3A)/(sin^2A)-(cos^(2)3A)/(cos^2A)=
Text Solution
|
If t a ntheta1t a ntheta2=k , then ("cos"(theta1-theta2))/("cos"(theta...
Text Solution
|
tan 5x.tan3x.tan2x=
Text Solution
|
If a+btantheta=secthetaandb-atantheta=2sectheta, then: a^2+b^2=
Text Solution
|
If cos25^0+sin25^0=p , then cos50^0 is sqrt(2-p^2) (b) -sqrt(2-p^2) ...
Text Solution
|
If tan(x+y)=33 and x= tan^(-1) 3 then y will be
Text Solution
|