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Find the equation of the line for wich p=2 and sin alpha=4/5,where and alpha have usual meaning.
 
 
 

Asked by neeraj.unnao 5th November 2016, 11:29 PM
Answered by Expert
Answer:
begin mathsize 16px style We space know space that comma space the space normal space form space of space the space equation space of space the space line space is space xcosα plus ysinα space equals space straight p
Given space that space straight p space equals space 2 space and space sinα equals space 4 over 5
Using space sin squared straight alpha space plus thin space cos squared straight alpha space equals space 1
rightwards double arrow open parentheses 4 over 5 close parentheses squared plus cos squared straight alpha space equals space 1
rightwards double arrow cos squared straight alpha space equals space 1 minus space 16 over 25 rightwards double arrow cos squared straight alpha space equals space 9 over 25 rightwards double arrow cosα space equals space 3 over 5
Equation space of space the space line space is space xcosα plus ysinα space equals space straight p
rightwards double arrow 3 over 5 straight x plus 4 over 5 straight y equals space 2 rightwards double arrow 3 straight x plus 4 straight y equals space 10 end style
Answered by Expert 6th November 2016, 9:14 PM
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