Math, asked by sudhakarsultanpur7, 1 year ago

show that (1 + tan theta + sec theta) (1 + cot theta minus cosec theta) is equal to 2​

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Answered by Human100
1

Answer:

hope this helps you

Step-by-step explanation:

attachement are above

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Answered by Anonymous
1

Ello..✌✌

(1 + cot theta - cosec theta) (1 + sec theta + tan theta)

=> (1 + cos theta /sin theta- 1/sin theta )

(1+1/cos theta + sin theta /cos theta)

=> ( cos theta + sin theta - 1) (cos theta + sin theta + 1 )

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

cos theta * sin theta

=> (cos theta +sin theta )² - 1²

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

cos theta * sin theta

=> 1+ 2 cos theta sin theta - 1

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

cos theta * sin theta

= 2

Hence, proved.

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