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.

answer

explanation

the area of a circle is calculated using the formula

or

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

we substitute the diameter into the formula to get:

this is the exact value for the area of the circle.

the correct answer is a

i really dont know

step-by-step explanation: