In ΔPQR, R is a right angle, RP = 7 and PQ = 25. Give the value of the ratio as a fraction.
(Hint: Make sure that you draw and label the triangle and find the missing side.)
a. cos P b. sin P c. tan P d. cot P
e. csc P f. sec P g. sin Q
h. tan Q
Answers
Answer:
sorry idk the answer but which class
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ᴡᴇ ᴄᴀɴ ᴜsᴇ ᴛʜᴇ ᴘʏᴛʜᴀɢᴏʀᴇᴀɴ ᴛʜᴇᴏʀᴇᴍ ᴀɴᴅ ᴘʀᴏᴘᴇʀᴛɪᴇs ᴏғ sɪɴᴇs, ᴄᴏsɪɴᴇs, ᴀɴᴅ ᴛᴀɴɢᴇɴᴛs ᴛᴏ sᴏʟᴠᴇ ᴛʜᴇ ᴛʀɪᴀɴɢʟᴇ, ᴛʜᴀᴛ ɪs, ᴛᴏ ғɪɴᴅ ᴜɴᴋɴᴏᴡɴ ᴘᴀʀᴛs ɪɴ ᴛᴇʀᴍs ᴏғ ᴋɴᴏᴡɴ ᴘᴀʀᴛs.
ᴘʏᴛʜᴀɢᴏʀᴇᴀɴ ᴛʜᴇᴏʀᴇᴍ: ᴀ2 + ʙ2 = ᴄ2.
sɪɴᴇs: sɪɴ ᴀ = ᴀ/ᴄ, sɪɴ ʙ = ʙ/ᴄ.
ᴄᴏsɪɴᴇs: ᴄᴏs ᴀ = ʙ/ᴄ, ᴄᴏs ʙ = ᴀ/ᴄ.
ᴛᴀɴɢᴇɴᴛs: ᴛᴀɴ ᴀ = ᴀ/ʙ, ᴛᴀɴ ʙ = ʙ/ᴀ.
ʟᴇᴛ’s ғɪʀsᴛ ʟᴏᴏᴋ ᴀᴛ sᴏᴍᴇ ᴄᴀsᴇs ᴡʜᴇʀᴇ ᴡᴇ ᴅᴏɴ’ᴛ ᴋɴᴏᴡ ᴀʟʟ ᴛʜᴇ sɪᴅᴇs. sᴜᴘᴘᴏsᴇ ᴡᴇ ᴅᴏɴ’ᴛ ᴋɴᴏᴡ ᴛʜᴇ ʜʏᴘᴏᴛᴇɴᴜsᴇ ʙᴜᴛ ᴡᴇ ᴅᴏ ᴋɴᴏᴡ ᴛʜᴇ ᴏᴛʜᴇʀ ᴛᴡᴏ sɪᴅᴇs. ᴛʜᴇ ᴘʏᴛʜᴀɢᴏʀᴇᴀɴ ᴛʜᴇᴏʀᴇᴍ ᴡɪʟʟ ɢɪᴠᴇ ᴜs ᴛʜᴇ ʜʏᴘᴏᴛᴇɴᴜsᴇ. ғᴏʀ ɪɴsᴛᴀɴᴄᴇ, ɪғ ᴀ = 10 ᴀɴᴅ ʙ = 24, ᴛʜᴇɴ ᴄ2 = ᴀ2 + ʙ2 = 102 + 242 = 100 + 576 = 676. ᴛʜᴇ sǫᴜᴀʀᴇ ʀᴏᴏᴛ ᴏғ 676 ɪs 26, sᴏ ᴄ = 26. (ɪᴛ’s ɴɪᴄᴇ ᴛᴏ ɢɪᴠᴇ ᴇxᴀᴍᴘʟᴇs ᴡʜᴇʀᴇ ᴛʜᴇ sǫᴜᴀʀᴇ ʀᴏᴏᴛs ᴄᴏᴍᴇ ᴏᴜᴛ ᴡʜᴏʟᴇ ɴᴜᴍʙᴇʀs; ɪɴ ʟɪғᴇ ᴛʜᴇʏ ᴜsᴜᴀʟʟʏ ᴅᴏɴ’ᴛ.)