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

The value of ` cos^(2)A(3-4 cos^(2)A)^(2) + sin^(2)A(3-4 sin^(2)A)^(2)` is

A

2

B

4

C

1

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 C ( MULTIPLE AND SUBMULTIPLE ANGLES )
  1. sin 3 theta * cos^(3) theta + cos 3 theta * sin^(3) theta =

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

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

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  5. 2 sin^(2) beta + 4 cos( alpha+ beta) sin alpha sin beta + cos ( 2 alph...

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

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

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

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

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

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

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  12. If x+(1)/x=2 cos theta , " then " x^(3)+(1)/(x^(3))=

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  13. If (sin alpha )/(a) = ( cos alpha )/(b) , then a sin 2alpha + b cos 2...

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  14. If x=sqrt((1- cos theta )/(1+ cos theta )), " then " (2 x)/(1-x^(2))=

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  15. If tan theta = 3//4 , then the value of tan 2 theta + sec 2 theta ...

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  16. If cos x= tan y , coty= tan z , cot z= tan x then sin x=

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  17. If cos x= tan y , coty= tan z , cot z= tan x then sin x=

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  18. If cos x = tan y , cot y= tan z and cot z= tan x, then sin x=

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  19. If "cosec" theta =[(tan^(2) [(alpha - pi)//4]-1)/(tan^(2)[(alpha-pi//4...

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  20. If cos theta =(1)/(2)(a+(1)/(a)), then cos 2 theta =

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