Question

If A,B,C,D are angles of a cyclic quadrilateral , then sinA + sinB - sinC - sinD = ?


answer the question with explanation plz ​

Answer 1

Answer:In a cyclic quadrilateral, sum of opposite angles is 180.

So, A+C=180⇒C=180−A⇒sinC=sin(180−A)=sinA

B+D=180⇒D=180−B⇒sinD=sin(180−B)=sinB

So,  

sinA+sinB−sinC−sinD

=sinA+sinB−sinA−sinB

=0

Step-by-step explanation:

Answer 2

Answer:

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