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(cosec(2pi+theta)cos(2pi+theta)tan(pi/2+...

`(cosec(2pi+theta)cos(2pi+theta)tan(pi/2+theta))/(sec(pi/2+theta)costhetacot(pi+theta))`

A

2

B

4

C

(-1)

D

1

Text Solution

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The correct Answer is:
D
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PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
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  2. If sectheta=sqrt2 and (3pi)/2ltthetalt2pi. Then the value of (1+tanthe...

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  3. (cosec(2pi+theta)cos(2pi+theta)tan(pi/2+theta))/(sec(pi/2+theta)costhe...

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  4. In triangle ABC, right angled at C, (tanA+tanB) equal to

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  5. If sintheta and costheta are the roots of the equation ax^2-bx+c=0, th...

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  6. (cosalpha+cosbeta)^2+(sinalpha+sinbeta)^2=

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  7. If tanbeta=(2sinalphasingamma)/sin(alpha+gamma), then cotalpha,cotbeta...

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  8. If(1+tan1^@)(1+tan2^@)....(1+tan45^@)=2^n, then the value of n is

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  9. If alpha+beta =(pi/2) and beta+gamma=alpha, then the tanalpha equals:

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  10. If sec(theta+alpha)+sec(theta-alpha)=2/costheta. then cos^2theta is eq...

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  11. If tanA=(1-cosB)/sinB, then

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  12. If m and M be the minimum and maximum value of 10 cos^2x-6sinxcosx+2si...

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  13. 3(sinx-cosx)^4+6(sinx+cosx)^2+4(sin^6x+cos^6x) is equal to

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  14. If tanx=(b/a), then acos2x+bsin2x is equal to

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  15. tan9^@-tan27^@-tan63^@+tan81^@ is equal to

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  16. (1+sintheta-costheta)/(1+sintheta+costheta)=

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  17. The number of ordered pairs (alpha,beta), where alpha,betain(-pi,pi) s...

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  18. The number of solutions of the equation x/100=sinx is

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  19. If mtan(theta-30^@)=ntan(theta+120^@), then cos2theta is equal to

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  20. The equation cos2x+asinx=2a-7 possessses a solution if

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