Answer: 
<u>Step-by-step explanation:</u>
Note the following identities: tan² x = sec²x - 1

tan² x + sec x = 1
(sec² x -1) + sec x = 1
sec² x + sec x - 2 = 0
(sec x + 2)(sec x - 1) = 0
sec x + 2 = 0 sec x - 1 = 0
sec x = -2 sec x = 1

1.) <1=25°, <2=155°, <4=155°

= 21
First, simplify

to

/ Your problem should look like:

= 21
Second, multiply both sides by 8. / Your problem should look like: -7k = 167
Third, divide both sides by -7. / Your problem should look like: k =
Fourth, simplify

to

/ Your problem should look like: k =
Fifth, simplify

to 24. / Your problem should look like: k = -24
Answer:
k = -24
Answer:
no solutions
Step-by-step explanation:
-4(5k-7) +2k= -2(9k+5)
Distribute
-20k +28 +2k = -18k -10
Combine like terms
-18k +28 = -18k -10
Add 18k to each side
-18k+18k +28 = -18k+18k -10
28 = -10
This is never true so there are no solutions