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tan""((5pi)/(32))+ 2 tan""((5pi)/(16))+4...

`tan""((5pi)/(32))+ 2 tan""((5pi)/(16))+4 tan""((5pi)/8)-cot""((5pi)/(32))=`

A

4

B

`-4`

C

8

D

`-8`

Text Solution

Verified by Experts

The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 C ( MULTIPLE AND SUBMULTIPLE ANGLES )
  1. tan alpha + 2 tan 2alpha + 4 tan 4 alpha + 8 cot 8 alpha =

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

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

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  4. (1+ sec 20^(@))(1+ sec 40^(@))(1+ sec 80^(@))=

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  5. (2 cos theta - 1 ) ( 2 cos 2 theta -1)(2 cos 4 theta -1)(2 cos 8 theta...

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  6. tan 2A- sec A sin A =

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

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

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

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  10. sin 3 theta * cos^(3) theta + cos 3 theta * sin^(3) theta =

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  11. If cos^(6) theta + sin^(6) theta + k sin^(2) 2theta=1 , then k=

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  12. The value of cos^(2)A(3-4 cos^(2)A)^(2) + sin^(2)A(3-4 sin^(2)A)^(2)...

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  13. ( cos 2 alpha)/( cos^(4) alpha - sin^(4) alpha ) -(cos^(4) alpha + si...

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  14. 2 sin^(2) beta + 4 cos( alpha+ beta) sin alpha sin beta + cos ( 2 alph...

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  15. (sin^(2)3A)/(sin^(2)A)-(cos^(2) 3A)/(cos^(2)A)=

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  16. If A is in the III quadrant , 3 tan A-4=0 " then " 5 sin 2A + 3 sin A ...

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  17. If ' theta ' is in the III quadrant then sqrt(4 sin^(4) theta + sin^(...

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  18. If 2A+B=(pi)/2 " then " sqrt((1+ sin B)/(1-sinB))=

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  19. If tan x=(b)/(a) " then " sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b))=

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  20. If tan(pi//4+ theta ) + tan(pi//4- theta )= k sec 2 theta , then th...

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