Question

if tanΦ =2 , then find secΦ​

Answer 1

Answer:

GiveN:

tan Θ = 2

To FinD:

sec Θ ?

Step-by-Step Explanation:

ʜᴇʀᴇ ᴡᴇ ʜᴀᴠᴇ ᴛᴡᴏ ᴛʏᴘᴇs ᴏғ ᴛʀɪɢᴏɴᴏᴍᴇᴛʀɪᴄ ʀᴀᴛɪᴏs: ᴛᴀɴ Θ ᴀɴᴅ sᴇᴄ Θ. ᴡᴇ ᴋɴᴏᴡ ᴀʙᴏᴜᴛ ᴛʜᴇɪʀ ʀᴇʟᴀᴛɪᴏɴ:

sec² Θ - tan² Θ = 1

Or

sec² Θ = 1 + tan² Θ

So, let's find arrange the given to get the value of sec Θ:

➛ tan Θ = 2

Squaring both sides,

➛ tan² Θ = 4

Adding one to both sides of the eq.

➛ 1 + tan² Θ = 5

➛ sec² Θ = 5

Square-rooting both sides,

➛ sec Θ = \pm± √5

Hence,

ᴛʜᴇ ʀᴇǫᴜɪʀᴇᴅ ᴠᴀʟᴜᴇ ᴏғ sᴇᴄ Θ ɪs \ᴘᴍ± √5

Extra Tips:

sᴏᴍᴇ ᴡᴀʏs ᴛᴏ ᴄᴏɴǫᴜᴇʀ ᴛʀɪɢᴏɴᴏᴍᴇᴛʀɪᴄ ǫᴜᴇsᴛɪᴏɴs:

• ʀᴇᴍᴇᴍʙᴇʀ ᴀʟʟ ᴛʜᴇ ɪᴅᴇɴᴛɪᴛɪᴇs ʙʏ ᴘʀᴀᴄᴛɪsɪɴɢ ᴡᴇʟʟ.
• ᴀʟᴡᴀʏs sᴛᴀʀᴛ ғʀᴏᴍ ᴛʜᴇ ᴄᴏᴍᴘʟᴇx sɪᴅᴇ ᴏғ ᴀ ᴘʀᴏᴏғ.
• ᴅᴏɴ'ᴛ ɢᴏ ғᴏʀ ǫᴜᴀɴᴛɪᴛʏ, ɪɴsᴛᴇᴀᴅ ᴛʀʏ sᴏʟᴠɪɴɢ ᴛʜᴇᴍ sᴍᴀʀᴛʟʏ ғᴏᴄᴜsɪɴɢ ᴏɴ ǫᴜᴀʟɪᴛʏ.
• ᴛʜᴇʀᴇ ᴀʀᴇ ᴍᴀɴʏ ᴡᴀʏs ᴛᴏ sᴏʟᴠᴇ ᴀ sɪɴɢʟᴇ , ᴄʜᴏᴏsᴇ ᴛʜᴇ sᴍᴀʀᴛᴇsᴛ ᴡᴀʏ.
• ᴛʀʏ ᴅʀᴀᴡɪɴɢ ᴀ ʀɪɢʜᴛ-ᴀɴɢʟᴇᴅ ɪɴ sᴏᴍᴇ ᴏғ ᴛʜᴇ ǫᴜᴇsᴛɪᴏɴs.

Answer 2

Answer:

√5

Step-by-step explanation:

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