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If sin (y+z-x), sin (z+x-y), sin (x+y-z)...

If `sin (y+z-x), sin (z+x-y), sin (x+y-z)` are in A. P , then prove that `x , tan y, tanz` are also in A.P.

A

A.P.

B

G.P.

C

H.P.

D

A.G.P

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 D ( TRANSFORMATIONS )
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  2. If cos (x-y) , cos x , cos (x+y) are three distinct numbers which are...

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  3. If sin (y+z-x), sin (z+x-y), sin (x+y-z) are in A. P , then prove that...

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  4. If cos 2B=(cos (A+C))/(cos(A-C)) , then tan A , tan B , tan C are in

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  5. If a* cos ( theta + alpha ) = b cos ( theta - alpha ) , " then " ( a...

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  6. If ( sin (x+y))/(sin (x-y))=(a+b)/(a-b) " then " ( tan x)/(tan y)=

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  7. If cos (A+B) sin (C+D)= cos(A-B)* sin(C-D), then cot A cot B cot C =

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  8. If tan (alpha + theta ) = n* tan ( alpha - theta ) , "then " (n +1) s...

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  9. If cos (x-y)=3 * cos (x+y) , " then " cot x* cot y=

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  10. If sin theta = n sin (theta + 2 alpha ) , " then " (1- n) tan ( thet...

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  11. If m sin theta = n sin ( 2alpha + theta ) , " then " (m+n) tan alpha =

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  12. If cos theta = cos alpha cos beta , " then " cot^(2)""(beta)/(2)=

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  13. If ( sin ( theta + alpha ))/( cos ( theta - alpha ))=(1- m)/(1+m) , " ...

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  14. (cos x )/( cos (x-2y))= lambda implies tan(x-y) tan y=

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  15. If ( cos ( theta1- theta 2 ))/(cos ( theta1+ theta2))+( cos ( theta3 +...

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  16. If tan""((theta)/(2))=sqrt([(1-e)/(1+e)]) tan""((alpha)/(2)) then cos...

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  17. If cos theta = ( cos alpha - cos beta )/(1- cos alpha cos beta ) " the...

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  18. cos A =(3)/4 implies 32 sin""((A)/(2)) sin""((5A)/(2))=

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  19. If xy+yz+zx=1, " then " (x)/( 1+x^(2))+(y)/(1+y^2)+(z)/(1+z^(2))=

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  20. If sin alpha + sin beta = a , cos alpha + cos beta = b " then sin ( ...

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