PLEASE HELP 1. Point (-3, 6) is on the terminal side of angle Ɵ.
What are the 6 trigonometric functions?

2. What are the 6 trigonometric functions of Ɵ for a triangle?

3. A triangle has an opposite side of 5, a hypotenuse side of 13, and an angle of Ɵ. What is the adjacent side?

4. A six-meter-long ladder leans against a building. If the ladder makes an angle of 60 degrees with the ground, how far up the wall does the ladder reach? How far from the wall is the base of the ladder?

5. What are 3 angles (at least one negative) that are co-terminal to 175 degrees?

6. Find the missing information: (s = r Ɵ).

s r Ɵ

a. 2.5 cm radians

b. 4 in 7 in

7. Assuming San Diego and Los Angeles have the same longitude (one is directly north of the other), what is the difference between them? (Use 7912 miles for the diameter of the earth)

San Diego Latitude: 37° 47'

Los Angeles Latitude: 34° 03'

41*67/2=1373.5

step-by-step explanation:

i just used a calculator

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt

provide more details to solve it

step-by-step explanation: