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In a right angled DeltaABC if /B=90^(@),...

In a right angled `DeltaABC` if `/_B=90^(@),AC=2sqrt(5)` and `AB-BC=2` then what is the value of `cos^(2)A-cos^(2)C` ?

A

`(3)/(5)`

B

`(4)/(5)`

C

`(sqrt(7))/(4)`

D

`(1)/(sqrt(5))`

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The correct Answer is:
A
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LUCENT PUBLICATION-TRIGONOMETRIC RATIO OF SPECIFIC ANGLES-Exercise 10A
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  2. If 0^(@)lethetale90^(@) then for any value of theta which one is corre...

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  3. If 0^@ lt theta lt 90^@, then the value of sin theta + cos theta is

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  4. If sin theta+cosec theta=2 then value of sin^(4)theta+cos^(4)theta ?

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  5. If sec theta = (13)/( 5) , then what is the value of (2 sin theta - ...

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  6. If 0^(@)lexle90^(@) and sinx+sqrt(3)cosx=1 , then what is the value of...

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  7. In a right angled DeltaABC if /B=90^(@),AC=2sqrt(5) and AB-BC=2 then w...

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  8. Statement (A) : If tantheta+cottheta=2 , then for all n epsilon N, tan...

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  9. What is the value of expression cos^(2)((pi)/(8))+4cos^(2)((pi)/(4))-s...

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  10. If qcosectheta=p and theta is acute then value of (sqrt(p^(2)-q^(2)))t...

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  11. If 2x^(2)cos 60^(@)-4cot^(2)45^(@)-2tan 60^(@)=0, then what is the val...

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  12. If 13 cos theta=12k-5 where 0lethetale90^(@) and k is an integer then ...

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  13. Statement (A) : tan50^(@)gt1 Reason (R ) : For 0^(@)ltthetalt90^(@),...

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  14. Which one of the following is true ?

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  15. (kcosec^(2)30^(@).sec^(2)45)/(8cos^(2)45^(@).sin^(2)60^(@))=tan^(2)60^...

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  16. If sinalpha+cosbeta=2(o^(@)lebetaltalphale90^(@)) , then sin((2alpha...

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  17. Find the value of cot10^(@).cot20^(@).cot60^(@).cot70^(@).cot80^(@).

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  18. If tantheta=1, then the value of (8sintheta+5cos theta)/(sin^(3)thet...

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  19. What of the value of tan.(pi)/(8).tan.(pi)/(12).tan.(pi)/(4).tan.(3pi)...

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  20. If tan15^(@)=2-sqrt(3) then value of tan15^(@)cot75^(@)+tan75^(@)cot15...

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