Posted by Anonymous on Sunday, October 17, 2010 at 2:05am.
how to do the calculation while taking 'A'
as 15 in the half angle formula used for calculating the value of sin 7.5 ?

trig  Reiny, Sunday, October 17, 2010 at 8:41am
Unless you have found sin15 or cos15 before, and it has become part of your trig repertoire , you will have to do it twice
since you must know that cos 30 = √3/2
and using
cos 2A = 2cos^2 A  1 , let 2A = 30
cos30 = 2cos^2 15  1
solving this for cos 15 I got √(√3 + 2)/2
now use the other expansion for cos 2A
cos 2A = 1  2sin^2 A
cos 15 = 1  2sin^2 7.5
this gave me
2sin^2 7.5 = 1  √(√3 + 2)/2
sin 7.5 = √[2  √(√3 + 2) ]/2
you can check it with sin 7.5 on your calculator, it is correct.
Answer This Question
Related Questions
 Trig  How do i find the exact value of sin 15 using the half angle formula
 Trigonometry  Identities  If tan 2x =  24/7, where 90 degrees < x < 180...
 trig  find the exact value by using the appropriate halfangle identity: sin(...
 trig  Solving Trig Functions: How Do You Solve For Sin 7.5 Using HalfAngle and...
 trig  Use a halfangle formula to find the exact value of cos 5ð/12
 trig  half angle formula to find exact value cos 112.5 degree
 trig  use a half angle formula to find the exact value of cos 75 degree
 Trig  Use the half angle formula to find the exact value of tan 7 pie/8
 trig  I asked below but I guess it was not understood what I was asking. I'll ...
 Math  Use a half angle formula to determine the exact value of sin 7(pi)/12.
More Related Questions