CBSE Class 11-science Answered
If p and q are two non zero unequal real numbers show that sin theta can never be equal to p2+q2/2pq
Asked by rushabh1234 | 20 Nov, 2018, 11:22: AM
![begin mathsize 12px style L e t space space space space sin theta space equals space fraction numerator p squared plus q squared over denominator 2 p q end fraction space.................. left parenthesis 1 right parenthesis
cos theta space equals space square root of 1 minus sin squared theta end root space equals space square root of 1 space minus space fraction numerator open parentheses p squared plus q squared close parentheses squared over denominator 4 p squared q squared end fraction end root space equals space square root of negative fraction numerator open parentheses p squared minus q squared close parentheses squared over denominator 4 p squared q squared end fraction end root space.................. left parenthesis 2 right parenthesis end style](https://images.topperlearning.com/topper/tinymce/cache/8f047f0bc9e6e4091e5a13c5e3e73fd2.png)
If eqn.(1) is true, we should not get -ve value inside square root.
Hence sinθ never be equal to (p2+q2) / (2pq)
Answered by Thiyagarajan K | 22 Nov, 2018, 23:44: PM
Application Videos
Concept Videos
CBSE 11-science - Maths
Asked by megaladevi07 | 24 Jul, 2024, 11:01: AM
CBSE 11-science - Maths
Asked by mihirkumarjha356 | 18 Jul, 2024, 21:51: PM
CBSE 11-science - Maths
Asked by vijaya198724 | 08 Jul, 2024, 22:33: PM
CBSE 11-science - Maths
Asked by shshnkmanjula | 08 Jul, 2024, 17:25: PM
CBSE 11-science - Maths
Asked by harshdasisode | 04 Jul, 2024, 00:07: AM
CBSE 11-science - Maths
Asked by manjushakothavade1979 | 25 Jun, 2024, 10:29: AM
CBSE 11-science - Maths
Asked by ishanvi.pahil | 22 Jun, 2024, 22:31: PM
CBSE 11-science - Maths
Asked by jagathaiah.kamsali | 13 Jun, 2024, 20:20: PM
CBSE 11-science - Maths
Asked by nandhandheeraj7474 | 11 Jun, 2024, 17:23: PM
CBSE 11-science - Maths
Asked by nvprithica | 07 Jun, 2024, 11:53: AM