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Which of the following number (s) is/are...

Which of the following number (s) is/are rational?

A

`sin 15^(@)`

B

`cos 15^(@)`

C

`sin 15^(@) cos 15^(@)`

D

`sin 15^(@) cos 75^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C
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Which of the following number(s) is rational? (A) sin15^(@)(B)cos15^(@)(C)sin15^(@)cos15^(@) ( textrmD ) sin15^(@)cos75^(@)

ML KHANNA-TRIGONOMETRY RATIOS AND IDENTITIES-MISCELLANEOUS EXERCISE (SELF ASSESSMENT TEST)
  1. Which of the following is correct ?

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  2. If tantheta =-4/3, then sin theta is

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  3. Which of the following number (s) is/are rational?

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  4. tan 75^(@) - cot 75^(@)=

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  5. The value of tan 3A - tan 2A - tan A is equal to

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  6. Prove than tan 56^(@) =("cos " 11^(@) + "sin " 11^(@))/("cos " 11^(...

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  7. tan54^(@) can be expressed as

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  8. If 4 n alpha = pi then the value of tan alpha tan 2 alpha tan 3 alpha ...

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  9. The value of sin(45^(@)+theta) - cos(45^(@)-theta) is

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  10. If sintheta=(-4)/(5) and theta lies in third quadrant, then the value...

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  11. If tan theta = 3 and theta lies in thrid quadrant, then the value of s...

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  12. If sin alpha = 12//13 , ( 0 lt alpha lt pi //2) and cos beta = - ( 3)...

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  13. If theta and phi are angles in the first quadrant such that tan theta ...

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  14. The value of cos ( pi //5) cos ( 2pi //5) cos ( 4pi //5) cos ( 8pi //5...

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  15. sin 20^(@) sin 40^(@) sin 60^(@) sin 80^(@) =(3)/(16)

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  16. The value of sqrt3 cosec20^@-sec20^@ is equal to:

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  17. Givent that pi/2,alphaltpi then the expression sqrt((1-sinalpha)/(1+si...

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  18. If tan alpha =(b)/(a), a gt b gt 0 and " if " 0 lt alpha lt (pi)/(4), ...

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  19. If cos(A-B)=3/5and tan A tanB=2, then

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  20. If A +B = ( pi )/( 3) and cos A + cos B =1, then which of the followin...

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