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If A-B=pi//4 , then (1+t a n A)(1-t a n ...

If `A-B=pi//4` , then `(1+t a n A)(1-t a n B)` is equal to

A

1

B

2

C

`oo`

D

`-2`

Text Solution

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The correct Answer is:
B
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TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES -CRITICAL THINKING
  1. If tantheta=1/2 and tanphi=1/3 , then tan (2theta + phi)

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  2. If theta lies in the first quardrant and costheta=(8)/( 17 ), then fi...

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  3. If A-B=pi//4 , then (1+t a n A)(1-t a n B) is equal to

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  4. If A + B = 45^@, then (cot A-1) (cot B-1) is equal to

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  5. If cos (theta -alpha) =a, sin (theta - beta) =b, then cos ^(2) (alpha...

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  6. If x,y,z are any three real numbers, then tan (x-y) + tan (y-z) + tan...

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  7. The value of tan 3A -tan 2A -tan A is equal to (A) tan 3A tan 2A tan A...

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  8. tan 20^(@) + tan40^(@) + sqrt(3).tan 20^(@).tan 40^(@)=

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  9. tan""(2pi)/(5)-tan""(pi)/(15)-sqrt3tan""(2pi)/(5)tan""(pi)/(15) is equ...

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  10. If tan A=2 tan B+cot B, then 2 tan (A-B) is equal to

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  11. If alpha,beta,gamma, in (0,pi/2) , then prove that (s i(alpha+beta+gam...

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  12. (1)/(tan 3 A - tan A)- (1)/(cot 3 A - cot A)=

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  13. Show that sin 150^(@) + cos 105^(@) =(1)/(sqrt(5))

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  14. The vlaue of tan 81^(@) - tan 63^(@) - tan 27^(@)+ tan 9^(@) is equ...

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  15. If alpha+beta=pi/2a n dbeta+gamma=alpha, then tanalpha equals 2(tanbet...

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  16. tan ((pi)/(4)+theta) tan ((3pi)/( 4) + theta) is equal to

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  17. tan(100^(@))+tan(125^(@))+tan(100^(@))tan(125^(@))=

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  18. If A+B=225^@ Find cotA/(1+cotA)*cotB(1+cotB)

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  19. The value of (sin(-660^@)tan(1050^@)sec(420^@))/(cos(225^@)cosec(315^@...

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  20. cos ^(2) ((pi)/(4)beta)- sin ^(2) (alpha - (pi)/(4))=

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