Question
Without the use of the calculator
.23 degrees + sin 37 degrees
.23 degrees + sin 37 degrees
Answers
Reiny
Check your typing of the question, I don't see any way to do this.
Reiny
Perhaps you meant
sin23° + sin37°
we have : sinA + sinB = 2sin((A+B)/2)cos((A-B)/2)
sin23° + sin37°
= 2sin((37+23)/2) cos((37-23)/2)
= 2 sin 30° cos 7°
= 2(1/2)cos7°
= cos7°
I don't see 7° as one of the usual angles associated with "exact" values, but my result is correct up to that point
sin23° + sin37°
we have : sinA + sinB = 2sin((A+B)/2)cos((A-B)/2)
sin23° + sin37°
= 2sin((37+23)/2) cos((37-23)/2)
= 2 sin 30° cos 7°
= 2(1/2)cos7°
= cos7°
I don't see 7° as one of the usual angles associated with "exact" values, but my result is correct up to that point