Consider the following statements:
I. -1 ≤ sinn θ ≤ 1 where n is odd integer
II. -1 ≥ Cosecn θ ≥ 1 where n is odd integer
Find which statement is/are correct?
1. Only 1
2. Only 2
3. Both 1 and 2
4. Neither 1 nor 2
Consider the following statements:
I. -1 ≤ sinn θ ≤ 1 where n is odd integer
II. -1 ≥ Cosecn θ ≥ 1 where n is odd integer
Find which statement is/are correct?
1. Only 1
2. Only 2
3. Both 1 and 2
4. Neither 1 nor 2
1. Only 1
2. Only 2
3. Both 1 and 2
4. Neither 1 nor 2
Correct Answer – Option 3 : Both 1 and 2
Calculation:
We know that for range for odd power of sin function always lies between -1 ≤ sinn θ ≤ 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