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If A +B+C= pi and /C is obtuse then ta...

If `A +B+C= pi and /_C` is obtuse then `tan A. tan B` is

A

`tanA tanB gt1`

B

`tanA tanBlt1`

C

`tanA tanB=1`

D

none of these

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
  1. The number of ordered pairs (alpha, beta) where alpha, beta in (-pi, p...

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  2. The maximum value of the function f(x)=sin(x+pi/6)+cos(x+pi/6) in the ...

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  3. If A +B+C= pi and /C is obtuse then tan A. tan B is

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  4. If 0 < theta < 2pi, then the intervals of values of ? for which 2si...

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  5. If tantheta=x-1/(4x), then sectheta-tantheta is equal to

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  6. If sectheta=x+1/(4x), then s e ctheta+t a ntheta= (a) x ,1/x (b) 2x ...

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  7. If piltthetalt 2pi, then sqrt((1+costheta)/(1-costheta)) is equal to

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  8. If theta lies in the second quadrant. Then the value of sqrt((1-sin ...

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  9. sin^2 theta =(x+y)^2/(4xy) where x,yinR gives theta if and only if

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  10. sec theta=(a^(2)+b^(2))/(a^(2)-b^(2)), where a, binR, gives real balue...

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  11. If 0^@ltthetalt180^@ then sqrt(2+sqrt(2+sqrt(2+...+sqrt(2(1+costheta))...

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  12. sin65^(@)+sin43^(@)-sin29^(@)-sin7^(@) is equal to

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  13. If sec alpha and cosec alpha are the roots of the equation x^(2)-ax+b=...

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  14. about to only mathematics

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  15. If ys invarphi=x s in(gamma+delta)=cos(alpha-beta)sin(gamma-delta), pr...

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  16. about to only mathematics

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

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  18. If ABCD is a cyclic quadrilateral, then the value of cosA-cosB+cosC-co...

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  19. If ABCD is a cyclic quadrilateral such that 12tanA-5=0 and 5cosB+3=0, ...

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  20. If sin (picot theta)=cos (pi tantheta), then

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