Question

If sec 50º = a and cot 40° =b, find the value of a2 -b2.​

Answer 1

Answer:

sec 50° = a

cot 40°= b

Step-by-step explanation:

sec50°= a

sec (90-40)°. = a

cosec 40° = a. ( since, sec (90-x) = cosec X)

cot 40°= b

a²-b² = cosec²40° - cot²40°.

= 1 ( since, cosec²X - cot²X = 1)

therefore, a²-b²= 1