Question

sin A / 1+cosA + 1+cosA/sinA​

Answer 1

Answer:

2 cosec A

Step-by-step explanation:

given

lhs= sin a/1+ cos a+ 1+ cos a/ sin a

= sin square A+(1+ cosA) square/ sinA(1+ cosA)

= sin square A+1 square+2×1× cos A+ cos square A/ sinA(1+ cos A)

By trigonometry identity

sin square A+ cos square A= 1*/

=1+1+2 cos square A/ sin A (1+ cos A)

take 2 çommon we get */

= 2(1+ cos A)/ sinA(1+ cosA)

= 2/ sin A

= 2 cosec A

= RHS there fore

sinA/ 1+ cosA+ 1+ cosA/ sin. A

= 2 cosec A

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