Math, asked by hemalathak976, 2 months ago

sin θ/ 1 - cot θ + cosθ /1 - tanθ = sinθ + cos θ​

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Answered by ashauthiras
3

Answer:

Step-by-step explanation:

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Answered by PriyankaPriyanka
50

Answer:

|| ✬ᴀɴsᴡᴇʀ✬ ||

L.H.S = sin θ/1-cot θ + cos θ/1-tan θ

= sin θ/1-cos θ/sin θ + cos θ /1-sin θ/cos θ

( Therefore, tan θ = sin θ/cos θ, cot θ = cos θ/sin θ )

= sin²θ / sin θ - cos θ - cos²θ / sin θ - cos θ

= sin²θ - cos²θ / sin θ - cos θ

= ( sin θ + cos θ ) ( sin θ - cos θ ) / ( sin θ - cos θ )

= ( cos θ + sin θ ) = R.H.S

|| ♔ᴍɪss_ɪɴɴᴏᴄᴇɴᴛ♔ ||

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