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If sin A,cosA and tan A are in G.P. then...

If sin A,cosA and tan A are in G.P. then `cot^6A-cot^2A` is equal to

A

(-1)

B

0

C

1

D

(1/2)

Text Solution

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The correct Answer is:
C
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PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. If x+1/x=2costheta then x^3+1/x^3=

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  2. If A=sin^2theta+cos^4theta then for all real values of theta

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  3. If sin A,cosA and tan A are in G.P. then cot^6A-cot^2A is equal to

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  4. The sign of the product (sin2)(sin3)(sin 5) is

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  5. No.of solution in the equation x=4 sinx when x in [0,2pi]

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  6. The value of sin 10^@+sin 20^@+sin30^@+…..+sin360^@ is equal to

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  7. if sin^4alphacos^2alpha=underset(k=0)overset3sum ckcos2kalpha then c1+...

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  8. The integer k for which the equation 7cosx+5sinx=2k+1 has a solution i...

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  9. For +ve integer n, letfn(theta)=tan(theta/2)(1+sectheta)(1+sec2theta)(...

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  10. If x=secphi-tanphi and y=cosecphi+cotphi, then

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  11. If sectheta+tantheta=1 then one root of equation a(b-c)x^2+b(c-a)x+c(a...

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  12. if cosx+secx=(-2) then for a positive integer n cos^nx+sec^nx is

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  13. sec^2theta=4xy/(x+y)^2 is true if and only if

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  14. If tanx=(2b)/(a-c), (a ne c) y=acos^2x+2bsinxcosx+csin^2x and z=asin...

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  15. If secA+tanA=3/2 then

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  16. If tantheta=(sin alpha-cos alpha)/(sinalpha+cosalpha)1 then

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  17. The value of cos(pi/15)cos(2pi/15)cos(3pi/15)cos(4pi/15)cos(5pi/15)cos...

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  18. The value of cos((2pi)/7)cos((4pi)/7)cos((6pi)/7) is

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  19. The value of sin (pi/14)sin(3pi/14)sin(5pi/14)sin(7pi/14)sin(9pi/14)si...

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  20. If Pn=sin^ntheta+cos^ntheta where n in W (whole number)and theta in R ...

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