Find the value of .
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 1
cot(x) = 1 / tan(x)
Substitute cot(35) with its equivalent:
⇒ tan(55) / cot(35) = tan(55) / (1 / tan(35))
⇒ tan(55) / (1 / tan(35)) = tan(55) × tan(35)
Recognize the complementary angle identity:
⇒ tan(x) = cot(90 - x)
⇒ tan(55) = cot(90 - 55) = cot(35)
Substitute tan(55) with cot(35):
⇒ tan(55) × tan(35) = cot(35) × tan(35)
Simplify:
⇒ cot(35) × tan(35) = 1
Therefore, the value of tan(55) / cot(35) is 1.