Solve for the unknown.

a) sin (x – 5°) = cos (35°)

b) sin (2x – 17°) = cos (x – 4°)

c) sin (x)= cos (x)

show steps

Step-by-step explanation:

Use shifts to write sine and cosine in terms of each other.

a) sin (x – 5°) = cos (35°)

sin (x – 5°) = sin (90° – 35°)

sin (x – 5°) = sin (55°)

x – 5° = 55°

x = 60°

b) sin (2x – 17°) = cos (x – 4°)

sin (2x – 17°) = sin (90° – (x – 4°))

sin (2x – 17°) = sin (90° – x + 4°)

sin (2x – 17°) = sin (94° – x)

2x – 17° = 94° – x

3x = 111°

x = 37°

c) sin (x) = cos (x)

sin (x) = sin (90° – x)

x = 90° – x

2x = 90°

x = 45°

part 1 answer = 8

part 2 answer = 72

step-by-step explanation:

part 1 explanation = add all of the numbers, then divide by how many numbers you have. so, 200/25 = 8.

part 2 explanation = not gonna lie, this is hard to explain, so just google how to do it.

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )