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If "coses"theta-sintheta=m,sectheta-co...

If
`"coses"theta-sintheta=m,sectheta-costheta=n,"eliminate"theta`

A

0

B

1

C

(-1)

D

2

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If cosectheta-sintheta=m" and " sectheta-costheta=n , elimnate theta .

Prove the following identities: (cosec theta-sintheta)^2+(sectheta-costheta)^2-(tantheta-cottheta)^2=1

. Let f(theta)=|{:(cos^2theta,costhetasintheta,-sintheta),(sinthetacostheta,sin^2theta,costheta),(sintheta,-costheta,0):}|,"find" f(pi/3) .

If A = [(costheta,-sintheta),(sintheta,costheta)] , then the matrix A^(-50) , when theta = (pi)/(12) , is equal to

Evalute : |{:(cos^2 theta,costhetasintheta,-sintheta),(costhetasintheta,sin^2theta,costheta),(sintheta,-costheta,0):}|

If f(theta)=|{:(cos^2theta,costhetasintheta,-sintheta),(costhetasintheta,sin^2theta,costheta),(sintheta,-costheta," "0):}| , then find the value of f((pi)/6) .

If tan theta+sin theta=m and tan theta-sin theta=n , then

If A=[(costheta,sintheta),(-sintheta,costheta)] , then prove that A^(n)=[(cosntheta,sin n theta),(-sin ntheta,cos n theta)], n in N .

Simplify costheta[(costheta,sin theta),(-sintheta,costheta)]+sin[(sintheta,-costheta),(costheta,sintheta)]

The solution of the equation |(costheta,sintheta,costheta),(-sintheta,costheta,sintheta),(-costheta, -sintheta,costheta)|=0 is -

PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. If thetane(2n+1)pi/2. ninI, then the least value of (sintheta+cosecthe...

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  2. If sinx+sin^2x=1n then the value of cos^12x+3cos^10x+3cos^8x+cos^6x-1 ...

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  3. If "coses"theta-sintheta=m,sectheta-costheta=n,"eliminate"theta

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  4. Find the value of (1+cos (pi/8))(1+cos(3pi/8))(1+cos(5pi/8))(1+cos(7pi...

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  5. (cos^4(pi/8))+(cos^4((3pi)/8))+(cos^4((5pi)/8))+(cos^4((7pi)/8)) is

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  6. The value of underset(r=1)overset9sum sin^2(rpi)/18=

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  7. If A+B+C=(3pi)/2, then cos2A +cos2B+cos2C is

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  8. The number of points of intersection of 2y=1 and y=sinx, -2pilexle2pi

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  9. If sinalpha, sinbeta and cosalpha are in G.P. then roots of the equati...

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

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  11. For any triangle ABC, ((a+b+c)(b+c-a)(c+a-b)(a+b-c))/(4b^2c^2)is equa...

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  12. Which one is correct?

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  13. In a DeltaABC, if cotAcotBcotCgt0, then the Delta is

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  14. cos(pi/14) + cos ((3pi)/14) + cos((5pi)/14)=

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  15. If (2sinalpha)/(1+cosalpha+sinalpha)=x, then (1-cosalpha+sinalpha)/(1+...

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  16. If secalpha and cosecalpha are two roots of x^2-px+q=0 then

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  17. If costheta + sectheta = (-2) then cos^ntheta + sec^ntheta= (If n is e...

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  18. Given A=sin^2theta +cos^4theta. Then for all real values of theta, whi...

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  19. The minimum value of cos(cosx) is

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  20. If S=cos^2(pi/n) + cos^2((2pi)/n) +....+ cos^2((n-1)pi)/n, then S equa...

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