Im having difficulty with these problems. Can someone please help me out? 1) Solve 2cos x=1
2) Solve: tan x -2sin x tan x=0
3) Solve: cos (2x)= -3^(1/2)/2

x=60° or 300°

Step-by-step explanation:

2cosx=1

cosx=1/2

cosx=cos60°,cos(360-60)°

cosx=cos60,cos300

either,

cosx=cos60

x=60

or,

cosx=cos300

x=300

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

( - 4 , -7 )

all the lines must parallel  

step-by-step explanation:

coordinates of c = ( - 1 , 2 )

3 units left = ( -4 , 2 )

9 units down = ( - 4 , 11 )