Question

how would you find the exact value?

sin[tan-1(4)]

Answer 1

Do you have a scientific calc.?

Answer 2

yea but i need a fraction

Answer 3

Hold on.

Answer 4

Do you have an answer choice?

Answer 5

sin[tan^-1(4)] sorry -1 is raised to the power

Answer 6

no i just have to enter the decimal value

Answer 7

draw a right triangle for the arctan(4) part
Let u=arctan(4)
so
tan(u)=4

or you can say tan(u)=4/1
then label your right triangle using tan is opp over adjacent

Answer 8

then you can use your triangle to find what sin(u) is
and then you are done

Answer 9

I received a decimal value.

Which is 0.970

Answer 10

But you're looking for a fraction.

Answer 11

@swift_13 how far have you gotten with my idea?

Answer 12

actually i havent studies trig fucntion yet, so i dont know how to do this question

Answer 13

use tan(u)=4/1 to build a right triangle

Answer 14

label this triangle

Answer 15

go to the opposite side of u and write 4
go to the adjacent side of u and write 1
since tan(u)=opp/adj=4/1

Answer 16

great now find the hyp