## anonymous one year ago Write an algebraic expression that is equivalent to sin(tan−1x2).

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1. misty1212

HI!!

2. misty1212

is it $\sin(\tan^{-1}(x^2))$?

3. anonymous

Write an algebraic expression that is equivalent to sin(tan^−1(infinity/2)).

4. freckles

you know infinity isn't a number right?

5. freckles

are you asking to write $\sin(\tan^{-1}(\frac{x}{2})) \text{ as an algebraic expression }$

6. freckles

the trick is to do: $u=\tan^{-1}(\frac{x}{2}) \\ \text{ so } \tan(u)=\frac{x}{2} \text{ draw a right triangle and use this information }$ and then find the hyp then to find sin(u), just recall the ratio for it is opp/hyp