A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 one year ago
prove that the length of the perpendicular from the origin to the straight line joining the two points having coordinates ( a cos alpha, a sin alpha) and (a cos beta, a sin beta) is
a cos { ( alpha + beta)/2}.
 one year ago
prove that the length of the perpendicular from the origin to the straight line joining the two points having coordinates ( a cos alpha, a sin alpha) and (a cos beta, a sin beta) is a cos { ( alpha + beta)/2}.

This Question is Closed

sauravshakya
 one year ago
Best ResponseYou've already chosen the best response.1Equation of line passing through ( a cos alpha, a sin alpha) and (a cos beta, a sin beta) is ya sin alpha = (a sinbeta a sinalpha)/( a cosbetaa cosalpha) *(xa cosalpha) ya sinalpha= (sinbeta sinalpha)(xa cosalpha)/(cosbeta cosalpha) y(cosbeta cosaplha) asinalpha (cosbeta cosalpha) = (sinbetasinalpha)(xacosalpha) y(cos betacosalpha) =(sinbetasinalpha)x acosalpha sinbeta+asinalpha cosbeta (sinbetasinalpha)x +(cosalpha cosbeta)y +a(sinalpha cosbeta sinbeta cosalpha)

sauravshakya
 one year ago
Best ResponseYou've already chosen the best response.1dw:1359027554983:dwNow, Distance between a line Ax+By+C=0 and point (x1,y1) is

sauravshakya
 one year ago
Best ResponseYou've already chosen the best response.1Try to use that formula

sauravshakya
 one year ago
Best ResponseYou've already chosen the best response.1A=sinbeta sinalpha B=cosalpha cosbeta C=a(sinalpha cosbeta sinbeta cosalpha) x1=0 y1=0

msingh
 one year ago
Best ResponseYou've already chosen the best response.0at the end, i got a(sinalphacosbetasinbetacosalpha)/√[2+2cos(alpha+beta)]

msingh
 one year ago
Best ResponseYou've already chosen the best response.0asin(alphabeta)/√[2+2cos(alpha+beta)]
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.