Question

cos theta/cosec theta +1 + cos theta /cosec theta -1 ​

Answer 1

Step-by-step explanation:

cos t / (cosec t +1) + cos t / (cosec t - 1)

= cos t(cosec t -1) + cos t(cosec + 1) / (cosec t + 1) (cosec t - 1)

= (cos t × cosec t - cos t + cos t × cosec t + cos t)/ cosec^2 t - 1

= 2 cos t cosec t/ cosec^2 t -1

= 2 cos t cosec t/( 1 - sin^2 t)/ sin^2 t

= 2 cos t / sin t × (sin^2 t/cos^2 t)

= 2 tan t