SOLUTION: &#945;=1/7&#960; rad. Angle &#952; is such that &#960;2<&#952;<2&#960; and csc(&#945;)=csc(&#952;). &#952;=? radian (give exact value)

Algebra ->  Trigonometry-basics -> SOLUTION: &#945;=1/7&#960; rad. Angle &#952; is such that &#960;2<&#952;<2&#960; and csc(&#945;)=csc(&#952;). &#952;=? radian (give exact value)      Log On


   

Question 1111025: α=1/7π rad. Angle θ is such that π2<θ<2π and csc(α)=csc(θ).
θ=? radian (give exact value)
Answer by ikleyn(52808) About Me  (Show Source):
You can put this solution on YOUR website!
.
We are given alpha = pi%2F7,

angle theta is such that  pi%2F2 < theta < 2pi  and  sin%28alpha%29 = sin%28theta%29.


Then  theta = pi+-+pi%2F7 = %287pi%29%2F7+-+pi%2F7%29 = %286pi%29%2F7.


Answer.  theta = %286pi%29%2F7.