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If 180^(@) lt theta lt 270^(@) , tan t...

If ` 180^(@) lt theta lt 270^(@) , tan theta = 5//12 , " then " cos 3 theta = `

A

`(828)/(2197)`

B

`-(828)/(2179)`

C

`(10296)/(11753)`

D

`-(10296)/(11753)`

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 C ( MULTIPLE AND SUBMULTIPLE ANGLES )
  1. If A=sin^(2) theta + cos^(4) theta , then for all values of theta ,...

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  2. If 90^(@) lt theta lt 180^(@) , cos theta =-12//13 , then sin 2 thet...

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  3. If 180^(@) lt theta lt 270^(@) , tan theta = 5//12 , " then " cos 3 ...

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  4. If cos theta + sin theta =a , " then " sin 2 theta =

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  5. If theta is an acute angle , cos theta = 7//25 , then tan 3 theta ...

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  6. If 180^(@) lt theta lt 270^(@) , sin theta =-3//5 , then cos theta //...

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  7. If 180^(@) lt theta lt 270^(@), sin theta =-4//5 , " then " tan theta...

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  8. If 630^@ lt A lt 720^(@) , |tan A|=12//5, " then " tan A//2=

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  9. If sin A = (336)/(625) " where " 450^(@) lt A lt 540^(@) , " then " s...

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  10. cot A + tan A =

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  11. tan A + cot 2A=

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  12. tan alpha + 2 tan 2alpha + 4 tan 4 alpha + 8 cot 8 alpha =

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  13. tan theta + 2 tan 2 theta + 4 tan 4theta + 8 tan 8 theta + 16 tan 16 t...

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  14. tan""((5pi)/(32))+ 2 tan""((5pi)/(16))+4 tan""((5pi)/8)-cot""((5pi)/(3...

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  15. (1+ sec 20^(@))(1+ sec 40^(@))(1+ sec 80^(@))=

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  16. (2 cos theta - 1 ) ( 2 cos 2 theta -1)(2 cos 4 theta -1)(2 cos 8 theta...

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  17. tan 2A- sec A sin A =

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  18. sin 2 alpha - cos 2 alpha tan alpha =

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  19. ( sin 3A + sin A) sin A + ( cos 3A- cos A ) cos A =

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  20. If ( cos 3A+ sin 3A)/( cos A - sin A )=1-k sin 2A , the value of k is

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