5 sin^2 θ = 4 What is theta?

1 Answer
Mar 1, 2018

Answer:

#theta=63.4349488229°# #[0°<=theta<=90°]#

#theta=116.5650511771°# #[90°<=theta<=180°]#

Explanation:

#5sin^2 theta=4#

#sin^2 theta=4/5#

#sin theta=2/sqrt5#

#theta=sin^(-1)(2/sqrt5)#

using calculator

#theta=63.4349488229°# #[0°<=theta<=90°]#

#theta=116.5650511771°# #[90°<=theta<=180°]#