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If tantheta=(1)/(2) and tanphi=(1)/(3),...

If `tantheta=(1)/(2) and tanphi=(1)/(3)`, then the value of `theta+phi` is

A

`pi//6`

B

`pi`

C

zero

D

`pi//4`

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
  1. The value of sin(pi/14)sin((3pi)/14)sin((5pi)/14) is

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  2. If sintheta+cosectheta=2, then "sin"^(2)theta+"cosec"^(2)theta is equa...

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  3. If tantheta=(1)/(2) and tanphi=(1)/(3), then the value of theta+phi i...

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  4. If sinx+sin^2x=1, then find the value of cos^(12)x +3cos^(10)x + 3 cos...

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  5. Write the maximum value of 12 sintheta-9sin^2\ \ thetadot

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  6. If f(x)="cos"^(2)x+"sec"^(2)x, then (i) f(x)lt1 (ii) f(x)=1 (iii...

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  7. The maximum value of 3 cos x+4sinx+5, is

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  8. Let A and B denote the statements A:cos alpha+ cos beta+cos gamma=0 ...

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  9. The number of ordered pairs (alpha, beta) where alpha, beta in (-pi, p...

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

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

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

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

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

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

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

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

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

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

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

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