Question

show that cot theta + tan theta = cosec theta × sec theta​

Answer 1

Answer:

hi friends

Step-by-step explanation:

cot + tan = cosec.sec

LHS = 1/tan + tan

= 1+tan2/tan

= sec2/tan

= 1/cos2 . cos /sin

= 1/cos . 1/sin

= sec.cosec

= RHS

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Answer 2

LHS = cot theta + tan theta

= cos theta sin theta

-------------- + -------------

sin theta cos theta

= cos ^2 theta + sin ^2 theta

------------------------------------

sin theta × cos theta

= 1

--------------------------------

sin theta × cos theta

= 1 1

------------- × ------------

sin theta cos theta

= cosec theta × sec theta

= RHS