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Find the minimum value of 9tan^2theta+4c...

Find the minimum value of `9tan^2theta+4cot^2theta`

A

13

B

9

C

6

D

12

Text Solution

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
  1. If x/(costheta)=y/(cos(theta-(2pi)/3))=z/(cos(theta+(2pi)/3)) 1 (b) ...

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  2. If cosA=3/4, then 32 sin (A/2) sin ((5A) /2)= ------------- ...

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  3. Find the minimum value of 9tan^2theta+4cot^2theta

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  4. If x(1),x(2),x(3),...,x(n) are in A.P. whose common difference is alph...

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  5. If asin^2x+bcos^2x=c,bsin^2y+acos^2y=d and atanx=btany then a^2/b^2=.....

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  6. If a(r+1)=sqrt(1/2 ( 1+a(r))), the prove that cos((sqrt(1-a(0)^(2))...

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  7. If alpha,beta,gamma,delta are the smallest positive angles in ascendin...

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  8. The value of cos y cos (pi/2-x)-cos (pi/2 - y) cos x + sin y cos (pi/2...

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  9. If cosx-sinalphacotbetasinx=cosa , then the value of tan(x/2) is -tan(...

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  10. The expression cosec^(2)A cot^(2)A-sec^(2)A tan^(2)A-(cot^(2)A-tan^(...

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  11. If sin alpha -cos alpha = m, then the value of sin^6alpha+cos^6alpha i...

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  12. The value of x , 0 le x le (pi)/2 which satisfy the equation 81^( si...

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  13. If cos(A-B)=3/5 and tan A tan B=2, then (a) cos Acos B=1/5 (b) sin A ...

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  14. The value of (3+cot76^@cot16^@)/(cot76^@+cot16^@) is

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  15. If sin x+sin^(2)x=1, " then " cos^(8)x+2 cos^(6)x+cos^(4)x=

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  16. If a=b cos((2pi)/3)= c cos((4pi)/3), then write the value of a b+b c+c...

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  17. If sinα.sinβ−cosα.cosβ+1=0 then show that 1+cotα.tanβ=0

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  18. If sintheta(1)+sintheta(2)+sintheta(3)=3, then cos theta(1)+cos theta(...

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  19. If A lies in the third quadrant and 3 tan A-4 = 0, then 5 sin 2A + 3si...

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  20. tan 5x tan3x tan2x=

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