Question

If $\frac{\pi}{4}\cot\theta = \frac{\pi}{2} - \frac{\pi}{4}\tan\theta$, then the general value of$\Rightarrow \tan\theta + \cot\theta = 2$is.

• A. $\Rightarrow$
• B. $\sin 2\theta = 1 = \sin\frac{\pi}{2} \Rightarrow \theta = n\pi + \frac{\pi}{4}$
• C. $2\sin^{2}\theta - 3\sin\theta - 2 = 0$
• D. $\Rightarrow$

Answer 1

Answer: (B)

$\sin 2\theta = 1 = \sin\frac{\pi}{2} \Rightarrow \theta = n\pi + \frac{\pi}{4}$

Answer 2

$\Rightarrow$

$\tan^{2}\theta = 3 \Rightarrow$ ⇒ $\theta = n\pi \pm \frac{\pi}{3}$

$\Rightarrow$ $\sec^{2}\theta - \tan^{2}\theta = 1$