Question

Sin40+sin75=cos15+cos50

Answer 1

Step-by-step explanation:

Questions

prove that

sin40 + sin75 = cos15 + cos50

Formula

Sin( 90 - A) = sinA

To prove

LHS

sin40 + sin75

sin(90 - 50) + sin ( 90 - 15)

from above formula a is 50 and 15

cos50 + cos15

Hence

LHS = RHS

proved

Answer 2

Answer:

sin40  + sin75 = cos15 + cos50

LHS

= sin(90 - 50)  + sin(90 - 15)

= cos50 + cos15

RHS

= cos15  + cos50

=    cos50 + cos15

Hence , LHS = RHS