Question

Evaluate tan 42° - cot 48°​

Answer 1

Answer:

tan 42°-cot 48°

=tan 42°-cot (90-42)°

=tan 42°-tan 42°

=0

Answer 2

Step-by-step explanation:

Given :-

tan 42° - cot 48°

To find:-

Evaluate tan 42° - cot 48°

Solution:-

Method -1:-

Given that

tan 42° - cot 48°

=> Tan (90°-48°) - Cot 48°

We know that

Tan (90°-A) = Cot A

=> Cot 48° - Cot 48°

=> 0

Method-2:-

Given that

tan 42° - cot 48°

=> Tan 42° - Cot (90°-42°)

We know that

Cot (90°-A) = Tan A

=> Tan 42° - Tan 42°

=> 0

Answer:-

The value of tan 42° - cot 48° = 0

Used formulae:-

• Tan (90°-A) = Cot A

• Cot (90°-A) = Tan A