Find the number of solutions and the sum of the solutions of the equation $$1 - 2\cos^2 x = |\cos x|$$ where $0 \leq x \leq 180^{\circ}$ A Number of solutions $= 2$ Sum of solutions $= 180^{\circ}$ B Number of solutions $= 2$ Sum of solutions $= 240^{\circ}$ C Number of solutions $= 3$ Sum of solutions $= 180^{\circ}$ D Number of solutions $= 3$ Sum of solutions $= 360^{\circ}$ E Number of solutions $= 4$ Sum of solutions $= 240^{\circ}$ F Number of solutions $= 4$ Sum of solutions $= 360^{\circ}$
..... 20
Find the number of solutions and the sum of the solutions of the equation
$$1 - 2\cos^2 x = |\cos x|$$
where $0 \leq x \leq 180^{\circ}$
A Number of solutions $= 2$ Sum of solutions $= 180^{\circ}$
B Number of solutions $= 2$ Sum of solutions $= 240^{\circ}$
C Number of solutions $= 3$ Sum of solutions $= 180^{\circ}$
D Number of solutions $= 3$ Sum of solutions $= 360^{\circ}$
E Number of solutions $= 4$ Sum of solutions $= 240^{\circ}$
F Number of solutions $= 4$ Sum of solutions $= 360^{\circ}$