Question

cot θ + tan θ = cosec θ sec θ 

Answer 1

डावी बाजू = cot θ + tan θ

= `cos θ/sin θ + sin θ/cos θ`

= `(cos^2 θ + sin^2 θ)/(sin θcos θ)`

= `1/(sin θcos θ)` .....[∵ sin²θ + cos²θ = 1] 

= `1/sinθ . 1/cosθ`

= cosec θ . sec θ

= उजवी बाजू

∴ cot θ + tan θ = cosec θ sec θ