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tan(45^(@)+A)tan(45^(@)-A)=1...

`tan(45^(@)+A)tan(45^(@)-A)=1`

A

-1

B

0

C

1

D

`sqrt2`

Text Solution

Verified by Experts

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

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

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

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

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

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

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

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

MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-MCQs
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  3. tan(45^(@)+A)tan(45^(@)-A)=1

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  4. tan 75^(@)+ tan 15^(@)= A)1B)2C)3D)4

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  5. 1+tan theta * tan 2 theta= A)2 csc thetaB)sec 2 theta C)2 sec thetaD) ...

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  6. tan 2 theta * cot theta -1= A)2 csc thetaB)sec 2 theta C)2 sec theta D...

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  7. If : A+B = 90^(@),and tanA=3/4 "then" : cot B =

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  8. If : sin (theta + phi) = 2 sin (theta - phi), "then" : tan theta = A)t...

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

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  10. If : a = tan x, b = tan y , c=sqrt(1+a^(2)),d= sqrt(1+b^(2)), "then" ...

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

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  12. cot(pi/12) + cot((3pi)/12) + cos ((9pi)/12)+ cos ((11pi)/12)

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  13. cot,(pi)/(20).cot.(3pi)/(12)+cot.(7pi)/(20)cot.(9pi)/(20)=....

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

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  15. If H is the orthocentre of fDelta ABC, then : sin(angle BHC)=

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  16. If H is the orthocentre of Delta ABC, then : cos(angle AHB)=

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  17. tan theta * (1+cos 2 theta)= A)2 sin thetaB)sin 2 thetaC)2 cos thetaD)...

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  18. (1+sec 2 theta)*sqrt(sec^(2) theta-1)= A)2 sec thetaB)sec 2 thetaC)2 t...

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  19. csc theta - 2 cos theta * cot 2 theta = A)2 sin thetaB)sin 2 thetaC)2 ...

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  20. If : (1+sin theta +cos theta)/(1+sin theta - cos theta)=f((theta)/(2))...

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