Question

$\text{cosec}({75}^{\circ }+\theta )-\sec ({15}^{\circ }-\theta )=$

• A. $2\sec \theta$
• B. $2cosec\theta$
• C. $0$
• D. $1$

Answer 1

Answer: (C)

$0$

Given,

$\csc ({75}^o+\theta )-\sec ({15}^o-\theta )$

$=\csc ({75}^o+\theta )-\sec \left[{90}^o-({75}^o+\theta )\right]$

$=\csc ({75}^o+\theta )-\csc ({75}^o+\theta )$

$=0$

$0$ will be the answer