Question

in triangle ABC, right - angled at B ; and AB = 15cm , AC = 17 cm; find : tan A and cosec A​

Answer 1

qᴜᴇꜱᴛɪᴏɴ :-

in triangle ABC, right - angled at B ; and AB = 15cm , AC = 17 cm; find : tan A and cosec A

❅❅❅ꜱᴏʟᴜᴛɪᴏɴ ❅❅❅

ɢɪᴠᴇɴ

• ᴀʙ = 15ᴄᴍ
• ᴀᴄ = 17ᴄᴍ

ꜰɪɴᴅ

➡ ᴛᴀɴ ᴀ ᴀɴᴅ ᴄᴏꜱᴇᴄ ᴀ

ᴩʀᴏᴏꜰ ɪɴ ᴀʙᴄ ʙy ᴜꜱɪɴɢ ᴩyᴛʜᴀɢᴏʀᴏᴜꜱ ᴛʜᴇᴏʀᴇᴍ

➡(ʜ)²=(ᴩ)²+(ʙ)²

=>(17)²=(15)²+(ʙᴄ)²

=>289=225+(ʙᴄ)²

=>(ʙᴄ)²=289-225=64

=>ʙᴄ=√64

=>ʙᴄ=8

ᴛʜᴇɴ ,

ᴩᴇʀᴩᴇɴᴅɪᴄᴜʟᴀʀ =15ᴄᴍ,ʙᴀꜱᴇ = 8ᴄᴍ , ʜyᴩᴏᴛᴇɴᴜꜱᴇ =17ᴄᴍ

ᴛʜᴇʀᴇꜰᴏʀᴇ , ᴛᴀɴ ᴀ = ᴩ/ʙ =ᴀʙ/ᴀᴄ =15/17

ᴛᴀɴ ᴀ = 15ᴄᴍ/17ᴄᴍ

ᴄᴏꜱᴇᴄ ᴀ = ʜ /ᴩ =ʙᴄ/ᴀʙ

ᴄᴏꜱᴇᴄ ᴀ=8ᴄᴍ/15ᴄᴍ