Question

Y=2/(sin theta + √3 cos theta), then the minimum value of y is?

Answer 1

Answer:

see the attachment........

Step-by-step explanation:

Answer 2

!! H0lA !!❣❣

ANSWER ==

Y =2/(sɪɴθ + √3ᴄᴏsθ)

ғᴏʀ sᴏʟᴠɪɴɢ ᴛʜɪs ϙᴜᴇsᴛɪᴏɴ, ʏᴏᴜ sʜᴏᴜʟᴅ ᴜɴᴅᴇʀsᴛᴀɴᴅ ᴏɴᴇ ᴛʜɪɴɢ

 - ≤ ᴀsɪɴx + ʙᴄᴏsx ≤Sᴏ, -

√(1 + √3²) ≤ (sɪɴθ + √3ᴄᴏsθ) ≤ √(1 + √3²)-2 ≤ (sɪɴθ + √3ᴄᴏsθ) ≤ 2 

Sᴏ, ᴍɪɴɪᴍᴜᴍ ᴠᴀʟᴜᴇ ᴏғ (sɪɴθ + √3ᴄᴏsθ) 

= -2 Mᴀxɪᴍᴜᴍ ᴠᴀʟᴜᴇ ᴏғ (sɪɴθ + √3ᴄᴏsθ)

 = 2 Fᴏʀ ɢᴇᴛᴛɪɴɢ ᴍɪɴɪᴍᴜᴍ ᴠᴀʟᴜᴇ ᴏғ ʏ , ᴡᴇ ʜᴀᴠᴇ ᴛᴏ ᴜsᴇ ᴍᴀxɪᴍᴜᴍ ᴠᴀʟᴜᴇ ᴏғ (sɪɴθ + √3ᴄᴏsθ) .Sᴏ, ᴍɪɴɪᴍᴜᴍ ᴠᴀʟᴜᴇ ᴏғ 

ʏ = 2/-2 = 1

 Hᴇɴᴄᴇ, =1

hope it helps you

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