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tan(45^(@)+A)tan(45^(@)-A)=...

`tan(45^(@)+A)tan(45^(@)-A)=`

A

-1

B

0

C

1

D

`tan2A`

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The correct Answer is:
C
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Which of the following identities,wherever defined,hold(s) good? (a) cot alpha-tan alpha=2cot2 alpha(b)tan(45^(@)+alpha)-tan(45^(@)-alpha)=2cos ec2 alpha(c)tan(45^(@)+alpha)+tan(45^(0)-alpha)=2sec2 alpha(d)tan alpha+cot alpha=2tan2 alpha

(1) (1-tan^(2)45^(@))/(1+tan^(2)45^(@)) =

(1-tan^(2)(45^(@)-A))/(1+tan^(2)(45^(@)-A)) is equal to

Prove that (1+tan1^(@))(1+tan2^(@))...(1+tan45^(@))=2^(23)

(1+tan3^(@))(1+tan6^(@))....(1+tan42^(@))(1+tan45^(@)=2^(k) Then find the value of k

(sin60^(@)+sin30^(@))/(sin60^(@)-sin30^(@))=(tan60^(@)+tan45^(@))/(tan60^(@)-tan45^(@))

tan225^(@)=tan(180^(@)+45^(@)) =tan45^(@)=1

Value of (1-tan^(2)45^(@))/(1+ tan^(2)45^(@)) is

(1 + tan ^ (2) (45 ^ (@) - A)) / (1-tan ^ (2) (45 ^ (@) - A)) = csc2A

MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES AND FACTORIZATION FORMULAE-MCQs
  1. If A+B=45^@ then (1+tanA)(1+tanB)=

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  2. If 2sin(x+60^@)=cos(x-30^@), then : tan=…..

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  3. tan(45^(@)+A)tan(45^(@)-A)=

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  4. tan75^@+tan15^@=….

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  5. If A+B=90^@, then : tanA.tanB=...

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  6. If sin(theta+phi)=2sin.(theta-phi), then : tantheta=K,tanphi, where K=...

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  7. If sintheta=2sin(theta+2a)and tan(theta+alpha)=K.tanalpha, then : K=….

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  8. If sin(x-60^@)=2.cos(x-30^@), then : tanx=.....

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  9. If 3tanthetatanphi=1 then (cos(theta-phi))/(cos(theta+phi)) is

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  10. If theta+phi=alpha,tantheta=K.tanphi andsin(theta-phi)=m.sinalpha, the...

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  11. The value of (cot54^(@))/(tan36^(@))+(tan20^(@))/(cot70^(@)) is

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  12. cos^2((pi)/(4)-theta)+cos^2((pi)/(4)+theta)=.....

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  13. cot(pi/20).cot((3pi)/20)cot((5pi)/20)cot((7pi)/20)cot((9pi)/20)=....

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  14. cos(pi/12)+sin^2((3pi)/12)+sin^2((9pi)/12)+cos((11pi)/12)=...

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  15. Statement I : sin^2pi/8+sin^2(3pi)/8+sin^2(5pi)/8+sin^2(7pi)/8=2 State...

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  16. Find the value of sin^(2)5^(@)+sin^(2)10^(@)+sin^(2)15^(@)+..............

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  17. If sectheta=-13//5, where 90^(@) lt theta lt 180^(@),, then : sintheta...

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  18. If costheta=3//7,and theta lies in the fourth quadrant, evaluate : sin...

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  19. If sqrt(2+sqrt(2+2cos4x))=K. cosx, then : K=….

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  20. For any angle A, 4sinA.sin((pi)/(3)-A).sin((pi)/(3)+A)=.....

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