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cos^(2)""((pi)/(4) +x ) - sin^(2) ""((pi...

`cos^(2)""((pi)/(4) +x ) - sin^(2) ""((pi)/4- x ) = `

A

0

B

`-1`

C

`1`

D

2

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. cos^(2) 45^(@) - sin^(2) 15^(@)=

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  2. Find the value of cos^(2)52(1^@)/(2) - sin^(2)22 (1^@)/2

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  3. cos^(2)""((pi)/(4) +x ) - sin^(2) ""((pi)/4- x ) =

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  4. cos^(2)(""(pi)/(6) + theta ) -sin^(2)""((pi)/(6) - theta ) =

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  5. The value of ( sin theta )/( sin^(2) (pi//8 + theta //2)-sin^(2)(pi//8...

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  6. sum(sin (A-B))/(cos A cos B)=

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  7. sum(sin (A+B) sin (A-B))/(sin^(2)A sin^(2)B)=

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  8. Evaluate sum(sin (A+B)sin(A-B))/(cos^(2)A cos^(2)B): if non of cos A ,...

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  9. cos alpha * sin (beta - gamma ) + cos beta * sin ( gamma - alpha ) + c...

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  10. Find tan 20^(@) + tan40^(@) + sqrt(3)tan20^(@)tan40^(@).

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  11. tan 75^(@) - tan 30^@ - tan 75^(@) * tan 30^*(@) =

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

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  13. If tan 69^(@) + tan 66^@ - tan 69^(@) tan66^@=2k , then the value of ...

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  14. tan A cot (A//2)-1=

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

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

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

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

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

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

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