Question

If ${\cos }^2\theta +3{\cos }^2\theta +4{\sin }^2\theta +....\left(200\right)terms=10025$, where $\theta$ is an acute angle, then the value of $\sin \theta -\cos \theta$ is

• A. $\frac{1-\sqrt{3}}{2}$
• B. $\frac{1+\sqrt{3}}{2}$
• C. $\frac{\sqrt{3}-1}{2}$
• D. $0$

Answer 1

The correct option is A $\frac{1-\sqrt{3}}{2}$