Question

If cot 28° = tan 2A, then LA =​

Answer 1

Step-by-step explanation:

Given:-

Cot 28° = tan 2A

To find:-

Find the measurement of A?

Solution:-

Method -1:-

Given that :

Cot 28° = Tan 2A

=>Cot (90°-62°) = Tan 2A

We know that Cot (90°-A)=Tan A

=>Tan 62° = Tan 2A

=>62° = 2A

=>2A = 62°

=>A = 62°/2

=>A = 31°

Therefore, angle A = 31°

Method -2:-

Given that :

Cot 28° = Tan 2A.

We know that Tan A = Cot (90°-A)

=>Cot 28° = Cot (90°-2A)

=>28° = 90°-2A

=>90°-2A = 28°

=>-2A = 28°-90°

=>-2A = -62°

=>2A = 62°

=>A = 62°/2

=>A = 31°

Therefore , angle A = 31°

Answer:-

The measurement of angle A = 31°

Used formulae:-

• Cot (90°-A)=Tan A

• Tan (90°-A)=Cot A