Evaluate the following expression.(t $\neq$ $\pi$/2+$\pi$n, where n is a whole number)
$2 \sin t \csc \left( \frac { \pi } { 2 } - t \right)$
A)- 2 tan t
B)2 tan t
C)2 sin t
D)- 2 cot t
E)2 cot t

Question

Evaluate the following expression.(t $\neq$  $\pi$/2+$\pi$n, where n is a whole number) 
 $2 \sin t \csc \left( \frac { \pi } { 2 } - t \right)$  
A)- 2 tan t
B)2 tan t
C)2 sin t
D)- 2 cot t
E)2 cot t

Quizplus · Accepted Answer

The expression simplifies using the identity $\csc(\frac{\pi}{2} - t) = \sec(t)$, which is equivalent to $1/\cos(t)$. Since $\sin(t)/\cos(t) = \tan(t)$, the expression becomes $2 \sin(t) * (1/\sin(t)) = 2 \tan(t)$.

Evaluate the Following Expression ≠\neq= π\piπ /2 π\piπ N, Where N Is a Whole Number)

Evaluate the Following Expression $\neq$ $\pi$ /2 $\pi$ N, Where N Is a Whole Number)