Question

Write an algebraic expression that is equivalent to sin(tan−1x2).

Answer 1

HI!!

Answer 2

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

Answer 3

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

Answer 4

you know infinity isn't a number right?

Answer 5

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

Answer 6

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