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Consider the following statements: I...

Consider the following statements:
I. Value of sind oscillates between - 1 and 1
II. Value of coso oscillates between 0 to 1
Which of the above statements is/are correct?

A

Only I

B

Only II

C

Both I and II

D

Neither I nor II

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the two statements regarding the sine and cosine functions: **Step 1: Analyze the first statement** - The first statement claims that the value of \( \sin \theta \) oscillates between -1 and 1. - The sine function is defined for all real numbers and its range is indeed from -1 to 1. - Therefore, this statement is **correct**. **Step 2: Analyze the second statement** - The second statement claims that the value of \( \cos \theta \) oscillates between 0 and 1. - Like the sine function, the cosine function also has a range from -1 to 1, not just from 0 to 1. - Therefore, this statement is **incorrect**. **Step 3: Conclusion** - Since the first statement is correct and the second statement is incorrect, we conclude that only the first statement is true. Thus, the correct answer is that only Statement I is correct. ### Summary of the Solution: - Statement I: True (Value of \( \sin \theta \) oscillates between -1 and 1) - Statement II: False (Value of \( \cos \theta \) oscillates between -1 and 1, not 0 to 1)
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PUNEET DOGRA-TRIGONOMETRY-PREV YEAR QUESTIONS
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  2. What is sin^2(3pi)+cos^2(4pi)+tan^2(5pi) equal to?

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  3. Consider the following statements: I. Value of sind oscillates bet...

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  4. Consider the following statements I. sin |x| + cos |x| is always po...

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  6. What is the value of cos 36^@?

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  7. Consider the following statements: I. n(sin^2 67(1^@)/(2)-sin^2 22...

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  8. Consider the following statements: I. If 3theta is an acute angle s...

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  9. Directions (FOR NEXT THREE): Read the following information carefully ...

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  10. Directions (FOR NEXT THREE): Read the following information carefully ...

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  11. Directions (FOR NEXT THREE): Read the following information carefully ...

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  12. Consider the following: I.tan((pi)/(6)) II. tan((3pi)/(4)) ...

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  13. What is (1 -sin^2alpha) (1+tan^2alpha) equal to?

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  14. What is sin^2 50^@ + sin^2 40^@ equal to?

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  15. If cos x = 1/3. Then, what is sinx. cotx. cosec x. tan x equal to?

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  16. The value of (cot54^(@))/(tan36^(@))+(tan20^(@))/(cot70^(@)) is

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  17. What is tan 15^(@) equal to ?

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  18. What is the value of tan 105^(@)?

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  19. If sin theta + 2cos theta = 1, then what is 2sin theta - cos theta equ...

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  20. What is (1-"tan"^(2)(x)/(2))/(1+"tan"^(2)(x)/(2))equal to :

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