Consider the following statements:I. -1 ≤ sinn θ ≤ 1 where n is

1.	Consider the following statements:I. -1 ≤ sinn θ ≤ 1 where n is odd integerII. -1 ≥ Cosecn θ ≥ 1 where n is odd integerFind which statement is/are correct?1. Only 12. Only 23. Both 1 and 24. Neither 1 nor 2
Answer» Correct Answer - Option 3 : Both 1 and 2 Calculation: We know that for range for odd power of sin function always lies between -1 ≤ sinⁿθ ≤ 1 and The range for odd power of cosec function always lies between -1 ≥ Cosecn θ ≥ 1 ∴ Both statements are correct Hence, option (3) is correct

Consider the following statements:I. -1 ≤ sinn θ ≤ 1 where n is odd integerII. -1 ≥ Cosecn θ ≥ 1 where n is odd integerFind which statement is/are correct?1. Only 12. Only 23. Both 1 and 24. Neither 1 nor 2

Answer» Correct Answer - Option 3 : Both 1 and 2

Calculation:

We know that for range for odd power of sin function always lies between -1 ≤ sinⁿθ ≤ 1 and

The range for odd power of cosec function always lies between -1 ≥ Cosecn θ ≥ 1

∴ Both statements are correct

Hence, option (3) is correct