Question

if A,Band Care the angles of triangle ABC show that sin (B+C/3) is equals cos (30 + A/ 3​) Prove this

Answer 1

Iɴ ᴀ ᴛʀɪᴀɴɢʟᴇ, sᴜᴍ ᴏғ ɪɴᴛᴇʀɪᴏʀ ᴀɴɢʟᴇs=1⃣8⃣0⃣⁰

Α+B+C=1⃣8⃣0⃣⁰

Α+B. =1⃣8⃣0⃣⁰-C

(A+B)/2⃣=(9⃣0⃣⁰-C/2⃣)

Tᴀᴋɪɴɢ ᴛᴀɴɢᴇɴᴛ

ᴛᴀɴ(A+B)/2⃣=ᴛᴀɴ(9⃣0⃣⁰-C/2⃣)

ᴛᴀɴ(A+B)/2⃣=Cᴏᴛ(C/2⃣)

Tʜᴀɴᴋ ʏᴏᴜ!!

Answer 2

I think , question is wrong