Find a solution for the equation. Assume that all angles in which an unknown appears are acute angles.
cos (2α+30°) = sin(3α – 60°)
Solution:-
Since cos θ and sin θ are co-function, they are related by an identity.
The identity is cos θ = sin (90° – θ).
Thus, for acute angles, if a function and the co-function values are equal, the sum of the angles must be 90°.
2α + 30° + 3α – 60° = 90°
5α – 30° = 90°
5α = 120°
α = 24°