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cos^(2) (A-B)+cos^(2)B-2cos(A-B) cos A c...

`cos^(2) (A-B)+cos^(2)B-2cos(A-B) cos A cos B = `

A

`sin^2 A `

B

`sin^(2) B `

C

`cos^(2) A `

D

`cos^(2)B`

Text Solution

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 B ( COMPOUNDS ANGLES )
  1. tan A cot (A//2)-1=

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  2. tan 5x- tan 3x - tan 2x =

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  3. cos^(2) (A-B)+cos^(2)B-2cos(A-B) cos A cos B =

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  4. Prove that sin^(2)alpha + cos^(2) (alpha + beta) + 2 sin alpha sin bet...

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  5. (cos 15^(@) + sin 15^(@))/(cos 15^(@) - sin 15^(@)) =

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  6. (tan (45^(@) + alpha ) + tan ( 45^(@) - alpha ))/( cot (45^(@) + alpha...

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  7. (tan 23^(@) + tan 22^(@))/(1- tan23^(@) * tan 22^(@))=

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  8. If (1- tan2^(@) cot 62^(@))/( tan 152^(@) - cot88^(@))=ksqrt(3) , then...

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  9. ((1+ tan 32^@)(1+tan 13^(@)))/((1+tan23^(@))(1+tan22^(@)))=

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  10. The value of (tan 80^@ - tan 10^(@))/( tan 70^(@))

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  11. (tan alpha + tan beta )/( tan (alpha + beta ))+(tan alpha - tan beta )...

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  12. If sin ( theta + alpha ) = cos ( theta + alpha ), then tan theta =

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  13. If tan(A+B)=m , tan (A-B)=n, " then " tan 2A=

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  14. If tan (A+B)=p , tan (A-B)=q , " then " cot 2B=

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  15. If tan theta1= k cot theta2 " then " (cos (theta1- theta2))/(cos(thet...

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  16. If tan A =18//17 , tan B=1//35 then tan (A-B)=

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  17. If tan(pi//4 + theta ) + tan (pi//4 - theta ) =3 , " then " tan^(2)(p...

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  18. If tan""[(pi)/4 + theta ]+tan[(pi)/(4)- theta ]=a " then " tan^(3)[(pi...

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  19. If cos alpha + cos beta =0 = sin alpha + sin beta " then " cos (alpha...

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  20. If tan theta =(cos 12^@ + sin 12^(@))/(cos 12^(@)-sin12^(@)) " then "...

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