Use the half-angle formulas to simplify the expression. $$\sqrt { \frac { 1 - \cos 10 x } { 2 } }$$
A)|sin 5x|
B)- |sin x|
C)|sin 10x|
D)- |sin 5x|
E)|sin x|

Question

Use the half-angle formulas to simplify the expression. ​​ $$\sqrt { \frac { 1 - \cos 10 x } { 2 } }$$ ​
A)|sin 5x|
B)- |sin x|
C)|sin 10x|
D)- |sin 5x|
E)|sin x|

Quizplus · Accepted Answer

The expression $\sqrt { \frac { 1 - \cos 10 x } { 2 } }$ matches the half-angle formula for sine, which is $\sin \frac{\theta}{2} = \pm \sqrt { \frac { 1 - \cos \theta } { 2 } }$. Here, $\theta = 10x$, so the expression simplifies to $|\sin 5x|$.

Use the Half-Angle Formulas to Simplify the Expression 1−cos⁡10x2\sqrt { \frac { 1 - \cos 10 x } { 2 } }21−cos10x​​

Use the Half-Angle Formulas to Simplify the Expression $\sqrt { \frac { 1 - \cos 10 x } { 2 } }$