Question

Evaluate the following
Tan 54°/cot 36°

Answer 1

Answer: Tan 54°/cot 36 = 1

Step-by-step explanation:

tan54 / cot 36

= tan54 / tan54

= 1 .

we know that,

tan( 90 - x) = cotx

So,

tan(90-36) = cot36

tan(54) = cot36 .

From this also,

Transposing the terms,

tan54/cot36 = 1

Hence, tan54/cot36 = 1

Answer 2

Question :- Evaluate the following :- Tan 54°/cot 36°

Answer:

1

Step-by-step explanation:

tan 54° / cot 36°

= tan ( 90° - 36°) / cot 36° [ tan ( 90 - A) = cot A ]

= cot 36° / cot 36°

= 1

Therefore, the required answer is 1.

Trignomentry identity used :-

tan ( 90° - A ) = cot A

Extra information :-

cos ( 90 - A ) = sin A , sin ( 90 - A ) = cos A

cosec ( 90 - A ) = sec A, sec ( 90 - A) = cosec A