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If theta is acute and (1-a^(2)) sin th...

If ` theta ` is acute and `(1-a^(2)) sin theta =(1+ a^(2)) cos theta ` , then ` sin theta =`

A

`(1-a^(2))/(sqrt(2(1+a^(4))))`

B

`(1+a^(2))/(sqrt(2(1+a^(4))))`

C

`(sqrt(2(1+a^(4))))/(1-a^(2))`

D

`(sqrt(2(1+a^(4))))/(1+a^(2))`

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 A ( TRIGONOMETRIC FUNCTIONS)
  1. If cot theta=-3//4 and theta is not in the second quadrant , then ...

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  2. If tan theta = -4//3 and theta is not in the fourth quadrant , then ...

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  3. If theta is acute and (1-a^(2)) sin theta =(1+ a^(2)) cos theta , t...

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  4. If sin theta = k , 0 lt k lt 1 and ' theta ' does not lie in the fir...

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  5. If 270^(@) lt theta lt 360^(@) and cos theta = (5)/(13) " then " (13 ...

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  6. If sin theta = -(7)/(25) and theta is not in the fourth quadrant , t...

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  7. If tan theta =(1)/(sqrt(7)) and theta is an acute angle , then ("cos...

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  8. If tan alpha = (q)/(p) and alpha lt 90^(@) ," then " (q sin alpha - p...

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  9. If theta lies in the first quadrant and 5 tan theta = 4 , " then "...

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  10. If cot theta = (b)/a " then " ( a sin theta - b cos theta )/( a sin t...

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  11. If sec alpha = (13)/(5) " where " alpha lt 90^(@) , then the value ...

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  12. If cot theta = sqrt(7) and theta does not lie the first quadrant , t...

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  13. If cos theta =(3)/5 and theta is not in the first quadrant , then (...

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  14. If tan theta = -(5)/(12) and theta is not in the fourth quadrant th...

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  15. If 90^(@) lt A lt 180^(@) , 180^(@) lt B lt 270^(@) and cos A=-(sqrt(3...

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  16. If 180^(@) lt A lt 270^(@) , 270^@ lt B lt 360^(@) and sin A = -5//13...

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  17. If 13 sin A = 12 , pi//2 lt A lt pi and 3 sec B=5 , 3pi/2 lt B lt 2p...

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  18. 3[sin^(4)(3pi//2-alpha)+sin^(4)(3pi+alpha)]-2[sin^(6)(pi//2+alpha)+sin...

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  19. If sin (alpha+beta ) =1 , sin (alpha-beta ) =1//2 " then " tan (alpha...

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  20. ( sin theta + " cosec " theta )^(2) + ( cos theta + sec theta )^(2)=

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