HOW do you find the value of TAN 88 degrees 22' 45'' and COT 36 degrees?

Part 1

We want to find the tan of 88 degrees, 22' 45''.

88° 22' 45''

= 88 + 22/60 + 45/3600 degrees

= 88.3792°

From the calculator, obtain

tan (88.3792°) = 35.3409

Answer: 35.3409

Part 2

We want to find cot (36°).

By definition, cot (x) = 1/tan (x).

From the calculator, obtain

tan (36°) = 0.7265

Therefore

cot (36°) = 1/0.7265 = 1.3764

Answer: 1.3764