Question

The value of $\text{cosec}\theta +\sec (270°-\theta )-\text{cosec}(270°+\theta )+\sec (180°-\theta )$ is

• A. $2\sec \theta$
• B. $2(\sec \theta +\text{cosec}\theta )$
• C. $1$
• D. $0$

Answer 1

The correct option is D $0$

$\text{cosec}\theta +\sec (270°-\theta )-\text{cosec}(270°+\theta )+\sec (180°-\theta )$

$=\text{cosec}\theta -\text{cosec}\theta +\sec \theta -\sec \theta$

$=0$