PLEASE HELP!! Condense and evaluate the following expressions using identities: 1. cos pi/3 * cos (5pi)/6 - sin pi/3 * sin (5pi)/6

3. (tan 122 degrees - tan 32 degrees)/(1 + tan 122 degrees * tan 32 degrees)

4. 2sin 15 degrees * cos 15 degrees
You don’t have to answer all of them but it would be cool

Suppose the radius of a circle is 16. what issuppose the radius of a circle is 16. what is its circumference its circumference

In a test for esp (extrasensory perception), the experimenter looks at cards that are hidden from the subject. each card contains either a star, a circle, a wave, a cross or a square.(five shapes) as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. when the esp study described above discovers a subject whose performance appears to be better than guessing, the study continues at greater length. the experimenter looks at many cards bearing one of five shapes (star, square, circle, wave, and cross) in an order determined by random numbers. the subject cannot see the experimenter as he looks at each card in turn, in order to avoid any possible nonverbal clues. the answers of a subject who does not have esp should be independent observations, each with probability 1/5 of success. we record 1000 attempts. which of the following assumptions must be met in order to solve this problem? it's reasonable to assume normality 0.8(1000), 0.2(1000)%30 approximately normal 0.8(1000), 0.2(1000)% 10 approximately normal srs it is reasonable to assume the total number of cards is over 10,000 it is reasonable to assume the total number of cards is over 1000

Find the missing factor. write your answer inexponential form.9^2=9^4×