Question

can you please answer this question

Answer 1

Answer:

Things to know:

1. Cot²A × Tan²A = 1

2. Cosec²A × Sin²A = 1

According to the question,

⇒ Cot²25 × Cosec²25 ( Tan²25 - Sin²25 ) = ?

Let the value of the solution be 'x'

⇒ ( Cot²25 × Cosec²25 × Tan²25 ) - ( Cot²25 × Cosec²25 × Sin²25 ) = x

⇒ ( 1 × Cosec²25 ) - ( 1 × Cot²25 ) = x

⇒ Cosec²25 - Cot²25 = x

We know the trigonometric identity:

Cosec²A - Cot²A = 1

Applying it here we get,

⇒ Cosec²25 - Cot²25 = 1

Hence the value of x is 1.

Hence Option ( b ) is correct.