Please wait...
1800-212-7858 (Toll Free)
9:00am - 8:00pm IST all days

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this toll free number

022-62211530

Mon to Sat - 11 AM to 8 PM

if cosecA+cotA=P     then,
find the value of secA-tanA.
{hint: ans. is 1/p}

Asked by shubham8308244792 12th September 2015, 12:22 PM
Answered by Expert
Answer:

g i v e n space t h a t space cos e c A plus c o t A equals P rightwards double arrow fraction numerator 1 over denominator sin A end fraction plus fraction numerator cos A over denominator sin A end fraction equals P rightwards double arrow fraction numerator 1 plus cos A over denominator sin A end fraction equals P rightwards double arrow fraction numerator 2 c o s squared A over 2 over denominator 2 s i n begin display style A over 2 end style cos A over 2 end fraction equals P space space space space space space open square brackets because 1 plus cos 2 theta equals 2 cos squared theta space a n d space sin 2 theta equals 2 sin theta cos theta close square brackets rightwards double arrow fraction numerator c o s A over 2 over denominator s i n begin display style A over 2 end style end fraction equals P rightwards double arrow c o t A over 2 equals P rightwards double arrow tan A over 2 equals 1 over P C o n s i d e r space s e c A minus tan A equals fraction numerator 1 over denominator cos A end fraction minus fraction numerator sin A over denominator cos A end fraction space space space space space space space space space space space space space space space space space space space equals fraction numerator 1 minus s i n A over denominator c o s A end fraction space space space space space space space space space space space space space space space space space space space equals fraction numerator c o s squared A over 2 plus sin squared A over 2 minus 2 s i n A over 2 c o s A over 2 over denominator c o s squared A over 2 minus s i n squared A over 2 end fraction space space space space space space space space space space space space space space space space space space space equals fraction numerator open parentheses cos A over 2 minus sin A over 2 close parentheses squared over denominator open parentheses cos A over 2 minus sin A over 2 close parentheses open parentheses c o s A over 2 plus s i n A over 2 close parentheses end fraction space space space space space space space space space space space space space space space space space space space equals fraction numerator open parentheses c o s A over 2 minus s i n A over 2 close parentheses over denominator open parentheses c o s A over 2 plus s i n A over 2 close parentheses end fraction space space space space space space space space space space space space space space space space space space space equals fraction numerator c o s A over 2 open parentheses 1 minus begin display style fraction numerator sin A over 2 over denominator c o s A over 2 end fraction end style close parentheses over denominator c o s A over 2 open parentheses 1 plus fraction numerator s i n A over 2 over denominator c o s A over 2 end fraction close parentheses end fraction space space space space space space space space space space space space space space space space space space space equals fraction numerator c o s A over 2 open parentheses 1 minus t a n A over 2 close parentheses over denominator c o s A over 2 open parentheses 1 plus t a n A over 2 close parentheses end fraction space space space space space space space space space space space space space space space space space space space equals fraction numerator open parentheses 1 minus 1 over P close parentheses over denominator open parentheses 1 plus 1 over P close parentheses end fraction space space space space space space space space space space space space space space space space space space space equals fraction numerator open parentheses fraction numerator P minus 1 over denominator P end fraction close parentheses over denominator open parentheses fraction numerator P plus 1 over denominator P end fraction close parentheses end fraction space space space space space space space space space space space space space space space space space space space equals fraction numerator open parentheses P minus 1 close parentheses over denominator open parentheses P plus 1 close parentheses end fraction space space space space space space space space space space space space space space space space space space space

Answered by Expert 14th September 2015, 7:04 PM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Your answer has been posted successfully!

Chat with us on WhatsApp