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Good Day,
I'm stuck on two trigonometry questions.
One requires me to prove a trigonometry summation and the other requires me to find the general solution of the given equation.
1. I am required to prove the b/m
sin x + sin 2x + sin 3x + ... + sin nx = {sin (n/2)x sin [(n+1)/2]x}/ sin (x/2)
I've attempted to prove this using mathematical induction. However, I'm stuck and need help/ advice on how I should proceed further. Attached is the work I have done so far.
View attachment 279
2. I have to find the general solution of the following equation:
tan (2x - pi) = sin x
I've been able to get till tan 2x = sin x. However, whatever I've done after that doesn't give me the correct solution, which is
x = n*pi or 2n*pi + 1.946.
Your help/ advice will be greatly appreciated.
Thanks in advance.
I'm stuck on two trigonometry questions.
One requires me to prove a trigonometry summation and the other requires me to find the general solution of the given equation.
1. I am required to prove the b/m
sin x + sin 2x + sin 3x + ... + sin nx = {sin (n/2)x sin [(n+1)/2]x}/ sin (x/2)
I've attempted to prove this using mathematical induction. However, I'm stuck and need help/ advice on how I should proceed further. Attached is the work I have done so far.
View attachment 279
2. I have to find the general solution of the following equation:
tan (2x - pi) = sin x
I've been able to get till tan 2x = sin x. However, whatever I've done after that doesn't give me the correct solution, which is
x = n*pi or 2n*pi + 1.946.
Your help/ advice will be greatly appreciated.
Thanks in advance.