Review question

# Can we solve the equation $3\cos x + 1 = 2\sin x$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R5113

## Suggestion

Find the values of $x$ between $0^\circ$ and $360^\circ$ which satisfy the equation

$3\cos x + 1 = 2\sin x.$

Could we rewrite $\sin (x-\alpha)$ in a helpful way?

How many solutions would you expect to find in the range?

Can you sketch a graph to illustrate the equation?