Use the given information to find (a) sin(s+t), (b) tan(s+t), and (c) the quadrant of s+t. cos s = - 12/13 and sin t = 4/5, s and t in quadrant ll.

Part a)    

Part b)

Part c) (s+t) lie on Quadrant IV

Step-by-step explanation:

[Part a) Find sin(s+t)

we know that

step 1

Find sin(s)

we have

substitute

---> is positive because s lie on II Quadrant

step 2

Find cos(t)

we have

substitute

is negative because t lie on II Quadrant

step 3

Find sin(s+t)

we have

substitute the values

Part b) Find tan(s+t)

we know that

tex]tan(s + t) = (tan(s) + tan(t))/(1 - tan(s)tan(t))[/tex]

we have

step 1

Find tan(s)

substitute

step 2

Find tan(t)

substitute

step 3

Find tan(s+t)

substitute the values

Part c) Quadrant of s+t

we know that

 ----> (s+t) could be in III or IV quadrant

----> (s+t) could be in III or IV quadrant

Find the value of cos(s+t)

we have

substitute

we have that

-----> (s+t) could be in I or IV quadrant

 ----> (s+t) could be in III or IV quadrant

----> (s+t) could be in III or IV quadrant

therefore

(s+t) lie on Quadrant IV

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

step-by-step explanation:

ok so im not 100% sure but you would start by adding 5.1t and 1.9t beacuse they have the same variable. that is 7t.   then add -3.6 + 1.2 which is -2.4

so then keep that as -2.4 + 7t. i apologize if this is incorrect. best luck on your test < 3