Tan(-x) cos(-x) =

Simplify the expression

- sin (x)

Step-by-step explanation:

hope this helps :)

 tan(-x) cos(-x) = -sin(x)

Step By Step Explanation:

tan(-x) cos(-x)

Use the negative angle Identity to get:

Cos (x) (-tan(x))

Remove the parenthesis to get:

-Cos (x) tan (x)

Express with sin,cos to get:

-sin(x)

I got my explanation from www.symbolab.com

https://www.symbolab.com/solver/simplify-calculator/tan%5Cleft(-x%5Cright)%20cos%5Cleft(-x%5Cright)%20%3D?or=input

,  Hope this Helps :)

Have a great day!!

Hence, Stacy will spin 6,  8.33 times out of her n = 50 attempts.

Step-by-step explanation:

Let us consider a success to get a 6. In this case, note that the probability of having a 6 in one spin is 1/6. We can consider the number of 6's in 50 spins to be a binomial random variable. Then, let X to be the number of trials we get a 6 out of 50 trials. Then, we have the following model.

We will estimate the number of times that she spins a 6 as the expected value of this random variable.

Recall that if we have X as a binomial random variable of n trials with a probability of success of p, then it's expected value is np.

Then , in this case, with n=50 and p=1/6 we expect to have  number of times of having a 6, which is 8.33.