Who can answer this question?

Question

2(cos^2)α - k sinα = 2 - k (a Find the range of values of k for which the equation has no solutions (b Find the solutions in the range 0°≤x≤360° when k=1

Answer 1

Remember cos² alpha = 1 - sin² alpha

Make that substitution and you will have a quadratic equation in sin alpha.

Write the quadratic formula and look at the discriminant to answer a).

Use the quadratic formula again with k = 1 to solve b).