Given that sinx = 0.4, what is tanx? Explain the steps you used

sin(x)=0.4=4/10=2/5

We can assume that the hypotenuse is 5k and the opposite side of angle x is 2k for any real number k(that is not 0) since 2k/5k=2/5

We can find the 3rd side(the adjacent side) by the Pythagorean theorem. sqrt(5k^2-2k^2)=k*sqrt21

Now, tan(x) is the opposite side over the adjacent side so the right side would be 2k/sqrt21*k, now simplify and rationalize the fraction.

2k/sqrt21*k=2/sqrt21=2*sqrt21/21

Done!

Hope this helped any questions can be asked in the comments and I will come answer.

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right

answer: what are the answer choices?

step-by-step explanation: