Verify the identity 1 - sin^2 x cot^2 x = sin^2 x. Is there more than one way to verify the identity? If so, tell which way you think is easier and why.

the given identity is true.

Step-by-step explanation:

this identity may be verified using several ways, the simpliest is:

1-sin^2xcot^2x=sin^2x;

1-cos^2 x=sin^2 x;

sin^2 x= sin^2 x.

D) 7/8

Step-by-step explanation:

The probability that there is at least one student at both Saturday's and Sunday's events is the inverse of the probability of having all students selecting either Saturday OR Sunday.

Since the probability of a student selecting Saturday is 0.5, the probability of all 4 students selecting that day is

0.5 * 0.5 * 0.5 * 0.5 = 1/16

Then the probability of having all students selecting either Saturday OR Sunday is twice that, which is 2/16, or 1/8

Therefore the probability that there is at least one student at both Saturday's and Sunday's events is 1 - 1/8 = 8/8 - 1/8 = 7/8