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If tan 7 theta tan 2 theta = 1, then th...

If `tan 7 theta tan 2 theta = 1`, then the value of `tan 3 theta` is

A

`sqrt3`

B

`-1/sqrt3`

C

`1/sqrt3`

D

`-sqrt3`

Text Solution

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The correct Answer is:
C
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ARIHANT SSC-TRIGONOMETRY-Exercise Base Level Questions
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  2. If sec theta - cosec theta = 0,then the value of tan theta + cot theta...

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  3. If tan 7 theta tan 2 theta = 1, then the value of tan 3 theta is

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  4. The expression (tan 57^@ + cot37^@)/(tan 33^@ + cot 53^@) is equal to

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  5. The numerical value of 5/(sec ^2 theta) + 2/(1 + cot^2 theta) + 3 sin^...

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  6. The value of tan 4^@ tan 43^@ tan 47^@ tan 86^@ is

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  7. Consider the following equations (i) cosec^2 x + sec^2 x = cosec^2 x...

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  8. If cosx/(1 + cosec x)+ (cosx)/(cosecx -1) =2, which one of the followi...

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  9. cos theta/(1 - sin theta) - costheta/(1 + sin theta) =2,sin satisfied ...

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  10. What is sqrt((1 + sin theta)/(1 -sintheta)) equal to ?

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  11. If 7 cos^2 theta +3 sin^2 theta =4 and 0 lt theta lt pi//2, what is th...

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  12. The value of (tan 27^@ + cot 63^@)/(tan 27^@ (sin25^@ + cos65^@))

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  13. If cos theta ge 1//2 in the first quadrant, which one of the following...

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  14. If x = a sec theta cos phi, y = b sec thetasin phi and z = c tan thet...

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  15. If cos^(4)theta-sin^(4)theta=(2)/(3), then the value of 1-2sin^(2)thet...

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  16. If 7sin^2 theta + 3 cos^2 theta = 4, then the value of cos theta(0^@le...

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  17. If tan8 theta = cot 2 theta, where 0 lt 8 theta lt pi/2, then what is...

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  18. If sin theta - cos theta = 0, then what is sin^4 theta + cos^4 theta e...

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  19. The expression sin^2 x + cos^2 x -1 =0 is satisfied by how many values...

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  20. Consider the following I.(cot 30^@+1)/(cot30^@ -1) = 2 (cos300^@ +1...

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