Home
Class 11
MATHS
If ABCD is a cyclic quadrilateral, then ...

If ABCD is a cyclic quadrilateral, then find the value of `sinA + sinB -sinC - sinD`

Text Solution

AI Generated Solution

To solve the problem, we need to find the value of \( \sin A + \sin B - \sin C - \sin D \) given that ABCD is a cyclic quadrilateral. ### Step-by-Step Solution: 1. **Understanding Cyclic Quadrilaterals**: In a cyclic quadrilateral, the sum of the opposite angles is \( 180^\circ \). Therefore, we have: \[ A + C = 180^\circ \quad \text{and} \quad B + D = 180^\circ ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise DO YOURSELF 11|3 Videos
  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise DO YOURSELF 12|1 Videos
  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise DO YOURSELF 9|1 Videos
  • BASIC MATHS LOGARITHIM TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise ILLUSTRATIONS|39 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ALLEN|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

If ABC D is a cyclic quadrilateral, then find the value of sinA+sinB-sinC-sinD If A+B+C=(pi)/(2) , then find the value of tanA tanB+tanBtanC+tanC tanA

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

In Figure, A B C D is a cyclic quadrilateral. Find the value of a and b.

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

In a cyclic quadrilateral ABCD, the value of 2+sum cos A cos B, is

If ABCD is a cyclic quadrilateral, then prove that AC.BD=AB.CD+BC.AD

In the adjoining figure, if ABCD is a cyclic quadrilateral, find the value of x.

In the adjoining figure, ABCD is a cyclic quadrilateral whose side AB is the diameter of the circle . If angle ADC=140^(@) , then find the value of angleBAC .

ABCD is a cyclic quadrilateral (see Figure). Find the angles of the cyclic quadrilateral.

In the adjoining figure, ABCD is a cyclic quadrilateral and AB is the diameter of the circle. If angleAPC=120^@ , then find the value of angle CAB .