Archive
16th of September 2015
Mathematics
Q:

if sinA=p/q,then find the value of tanA+4/4cotA+1

Vaishnavi Karuturi - Junior - Class VI

Wednesday, September 16, 2015 at 18:04:PM

A:

hi

sin A space equals space p over q sin squared A space equals p squared over q squared cos squared A equals 1 minus sin squared A equals 1 minus p squared over q squared equals fraction numerator q squared minus space p squared over denominator q squared end fraction cos A equals fraction numerator square root of q squared minus space p squared end root over denominator p end fraction tan A space equals space fraction numerator sin A over denominator cos A end fraction equals fraction numerator p squared over denominator q square root of q squared minus space p squared end root end fraction c o t A equals fraction numerator q square root of q squared minus space p squared end root over denominator p squared end fraction  fraction numerator tan A plus 4 over denominator c o t A plus 1 end fraction equals fraction numerator fraction numerator p squared over denominator q square root of q squared minus space p squared end root end fraction plus 4 over denominator fraction numerator q square root of q squared minus space p squared end root over denominator p squared end fraction plus 1 end fraction equals fraction numerator p squared plus 4 q square root of q squared minus p squared end root over denominator q square root of q squared minus space p squared end root end fraction cross times fraction numerator p squared over denominator q square root of q squared minus p squared end root plus p squared end fraction equals fraction numerator p to the power of 4 plus 4 p squared q square root of q squared minus p squared end root over denominator q squared open parentheses q squared minus p squared close parentheses plus 4 p squared q square root of q squared minus p squared end root end fraction equals fraction numerator p to the power of 4 plus 4 p squared q square root of q squared minus p squared end root over denominator q to the power of 4 minus q squared p squared plus 4 p squared q square root of q squared minus p squared end root end fraction

Wednesday, September 16, 2015 at 18:19:PM