Question

If $\sin \Theta +\text{cosec}\Theta =2$ find the value of $\cot \Theta +\cos \Theta$

• A. $0$
• B. $\frac{1}{2}$
• C. $1$
• D. $2$

Answer 1

Answer: (A)

$0$

Given, $\sin \Theta +\text{cosec}\Theta =2$
This is possible only when $\Theta ={90}^o$ as $\sin {90}^0=\text{cosec}{90}^o=1$
So, $\cot \Theta +\cos \Theta =\cot {90}^o+\cos {90}^0=0+0=0$