Convert the expression. $$\tan \frac { a } { 2 }$$
A) $\csc a - \tan a$
B) $\csc a + \cot a$
C) $\cos a - \cot a$
D) $\cos a + \cot a$
E) $\csc a - \cot a$

Name: Convert the expression. \[\tan \frac { a } { 2 }\] A) $\csc a - \tan a$ B) $\csc a + \cot a$ C) $\cos a - \cot a$ D) $\cos a + \cot a$ E) $\csc a - \cot a$
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Question

Convert the expression.​ $$\tan \frac { a } { 2 }$$ ​ ​
A)​ $\csc a - \tan a$
B) $\csc a + \cot a$
C)​ $\cos a - \cot a$
D) $\cos a + \cot a$
E) $\csc a - \cot a$

Quizplus · Accepted Answer

The half-angle identity for tangent is $\tan \frac{a}{2} = \frac{1 - \cos a}{\sin a}$, which simplifies to $\csc a - \cot a$.

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Convert the Expression $\tan \frac { a } { 2 }$