SOLUTION: &#945;=3/7&#960; rad. Angle &#952; is such that &#960;/2<&#952;<2&#960; and sec(&#945;)=sec(&#952;). &#952;=? radian (give exact value)

Algebra ->  Trigonometry-basics -> SOLUTION: &#945;=3/7&#960; rad. Angle &#952; is such that &#960;/2<&#952;<2&#960; and sec(&#945;)=sec(&#952;). &#952;=? radian (give exact value)       Log On


   

Question 1111026: α=3/7π rad. Angle θ is such that π/2<θ<2π and sec(α)=sec(θ).
θ=? radian (give exact value)
Answer by ikleyn(52864) About Me  (Show Source):
You can put this solution on YOUR website!
.
We are given alpha = %283pi%29%2F7,

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


Then  theta = 2pi+-+%283pi%29%2F7 = %2814pi%29%2F7+-+%283pi%29%2F7%29 = %2811pi%29%2F7.


Answer.  theta = %2811pi%29%2F7.