Question

Find the exact value of tan (arcsin(2/5)). Please explain how you got your answer

Answer 1

\[\arcsin (2/5)\] means the angle (theta) such that \[\sin \theta = 2/5\] drawing the right triangle

Answer 2

find the length of the third side, from which you can compute the value of tan(theta)

Answer 3

i don reamer how to do that, is there a equation for that

Answer 4

im sorry i dont remember

Answer 5

is there a equation for that???????

Answer 6

LET \[\large \theta =\arcsin \frac{ 2 }{ 5 }\] the equation is the same as \[\large \sin \theta=\frac{ 2 }{ 5 }\]

Answer 7

the expression \[\large \tan(\arcsin \frac{ 2 }{ 5 })\] is now changed to \[\large \tan \theta\] a value you must find from the condition \[\large \sin \theta = \frac{ 2 }{ 5 }\]

Answer 8

so is it 0.411 +/- 2 pi n

Answer 9

or 2.7301 +/- 2 pi n