Math, asked by harshgupta93069, 11 months ago

price that (1+cot theta-cosec theta) (1+tan theta + sec theta)=2​

Answers

Answered by aaravshrivastwa
2

Taking L.H.S,

= (1+CotØ-CosecØ)(1+tanØ+SecØ)

= (1+ CosØ/SinØ-1/SinØ)(1+SinØ/CosØ+1/CosØ)

= (SinØ+CosØ-1/SinØ)(CosØ+SinØ+1/CosØ)

= (SinØ+CosØ)²-1/SinØ.CosØ

= Sin²Ø+Cos²Ø+2SinØ.CosØ-1/SinØ.CosØ

= 1+2SinØ.CosØ-1/SinØ.CosØ (Sin²Ø+Cos²Ø=1)

= 1+2-1/1

= 3-1

= 2 R.H.S Proved

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