Angle α lies in quadrant II , and tanα=−125 . Angle β lies in quadrant IV , and cosβ=35 .

What is the exact value of cos(α−β) ?

Step-by-step explanation:

step 1

Find cos α

we know that

we have

substitute

Remember that Angle α lies in quadrant II

so

sec α is negative

Find the value of cos α

so

step 2

Find sin α

we know that

we have

substitute

step 3

Find sin β

we know that

we have

substitute

Remember that

Angle β lies in quadrant IV

so

sin β is negative

step 4

Find cos(α−β)

we know that

we have

substitute the given values

answer: 298143

step-by-step explanation:

.24

step-by-step explanation:

the probability is   .24

the first player had the highest probability of getting a silver marble

the game could be made fair by adding back the marble that was drawn after each draw