Question : If $\sec \theta-2 \cos \theta=\frac{7}{2}$, where $\theta$ is a positive acute angle, then the value of $\sec \theta$ is:

Question : If $\theta$ is a positive acute angle and $\tan2\theta \tan3\theta=1$, then the value of $2(\cos^2\frac{5\theta}{2}-1)$ is:

Question : $\theta$ is a positive acute angle and $\sin\theta-\cos\theta=0$, then the value of $\sec\theta+\operatorname{cosec}\theta$ is:

Question : If $\theta$ is a positive acute angle and $3(\sec^{2}\theta+\tan^{2}\theta)=5$, then the value of $\cos2\theta$ is:

Question : If $\theta$ is a positive acute angle and $4\sin^{2}\theta =3$, then the value of $\left (\tan\theta-\cot\frac{\theta}{2}\right)$ is: