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If : f(x)=sec^(2)x, lt br gt then : (1+t...

If : `f(x)=sec^(2)x,` lt br gt then : `(1+tan A *tanB)^(2)+(tan A-tanB)^(2)=`

A

`f(A) + f(B)`

B

`f(A) - f(B)`

C

`f(A) * f(B)`

D

`f(A) // f(B)`

Text Solution

Verified by Experts

The correct Answer is:
C
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MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-MCQs
  1. (csctheta-sintheta")(sectheta-costheta)(tantheta+cottheta)=

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  2. (sectheta+tantheta-1)(sectheta-tantheta+1)=

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  3. If : f(x)=sec^(2)x, lt br gt then : (1+tan A *tanB)^(2)+(tan A-tanB)^(...

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  4. If : (sintheta+csctheta)^(2)+(costheta+sectheta)^(2)=tan^(2)theta+cot^...

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  5. If : sin^(4)theta+cos^(4)theta+sin^(2)theta*cos^(2)theta=1-u^(2), "th...

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  6. If : (sintheta+costheta)(1-sintheta*costheta)=sin^(n)theta+cos^(n)thet...

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  7. If : sin^(6)theta+cos^(6)theta=1-3u^(2)+3u^(4), "then" : u =

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  8. If sin theta + sin^(2) theta=1 " then " cos^(2) theta+ cos^(4) theta...

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  9. if : p*cos theta=sqrt(p^(2)+q^(2)).sin theta, "then" : q * sin theta=

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  10. If : cos theta+sintheta=1, "then" : cos theta-sintheta

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  11. If : sin theta= sqrt3*costheta, "then" : 2(sin theta+costheta)-1=

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  12. If : cos theta-sintheta=sqrt2.sin theta, "then": costheta+sintheta=

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  13. If : sin^(2)theta+sin^(4)theta=1, "then": tan^(4)theta-tan^(2)theta=

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  14. If : sin^(2)theta+sin^(4)theta=1, "then": cot^(2)theta+cot^(4)theta=

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  15. If : sectheta+costheta=2 "then" : sec^(2)theta-sec^(4)theta=

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  16. If : tan theta+cot theta=2, "then" : tan^(2)theta-tan^(3)theta=

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  17. If : cos^(2)theta-sin^(2)theta=tan^(2)phi, "then" : cos^(2)phi-sin^(2)...

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  18. If : cos^(2)theta-sin^(2)theta=tan^(2)alpha and costheta*cosalpha=cosb...

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  19. If : a * sec alpha+b * tan alpha=m and : atan alpha+b * sec alpha=n, ...

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  20. If : 1+sin alpha * sin beta-cos alpha* cos beta=0" ""then" : tan alpha...

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