Evaluate the following expression.
$$5 \tan \left( \frac { \pi } { 2 } - \theta \right) \tan \theta$$
A)-6
B)6
C)4
D)5
E)-5

Name: Evaluate the following expression. \[5 \tan \left( \frac { \pi } { 2 } - \theta \right) \tan \theta\] A)-6 B)6 C)4 D)5 E)-5
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Question

Evaluate the following expression.  
  $$5 \tan \left( \frac { \pi } { 2 } - \theta \right) \tan \theta$$  
A)-6
B)6
C)4
D)5
E)-5

Quizplus · Accepted Answer

The expression simplifies using the identity $\tan\left(\frac{\pi}{2} - \theta\right) = \cot\theta$. Thus, $5 \tan\left(\frac{\pi}{2} - \theta\right) \tan\theta = 5 \cot\theta \tan\theta = 5 \times 1 = 5$.

Evaluate the Following Expression 5tan⁡(π2−θ)tan⁡θ5 \tan \left( \frac { \pi } { 2 } - \theta \right) \tan \theta5tan(2π​−θ)tanθ

Evaluate the Following Expression $5 \tan \left( \frac { \pi } { 2 } - \theta \right) \tan \theta$