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If alpha , beta are complementary angl...

If ` alpha , beta ` are complementary angles , then ` sin^(2) alpha + sin^(2) beta ` =

A

1

B

`-1`

C

`2`

D

0

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 A ( TRIGONOMETRIC FUNCTIONS)
  1. If tan 20^(@) = lambda , " then " (tan 250^@ + tan 340^(@))/(tan 200^...

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  2. If tan20^(@) = lambda then show that (tan 160^(@) -tan 110^(@))/(1+tan...

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  3. If alpha , beta are complementary angles , then sin^(2) alpha + sin...

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  4. If alpha , beta are supplementary angles , then cos^(2)alpha + sin^(...

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  5. If x= sin 1 , y=sin1^(@) then

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  6. If x=cos 1 , y= cos1^(@) then

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  7. If x=tan1 , y=tan1^(@) then

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  8. If tan theta = -4//3 " then " sin theta =

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  9. If cot theta = 15//8 and theta is not in the first quadrant then s...

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  10. If alpha , beta are complementary angles , sin alpha = 3//5 , then s...

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  11. If 180^(@) lt theta lt 270^(@) and sin theta = -5//13 then 5 cot^(...

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  12. If cot theta=-3//4 and theta is not in the second quadrant , then ...

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

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

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

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

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

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

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

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

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