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If tan theta = (1)/(2) and tan phi = (1)...

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

A

`(pi)/(6)`

B

`pi`

C

0

D

`(pi)/(4)`

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The correct Answer is:
D
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AAKASH SERIES-COMPOUND ANGLES-LECTURE SHEET (EXERCISE - I)
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  4. If sin A + cos B = a and sin B + cos A = b, then sin (A + B) is equal ...

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  5. Let A and B denote the statements A:cosalpha+cosbeta+cosgamma=0" ...

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  6. Let alpha , beta be such that pi lt alpha - beta lt 3 pi . If sin...

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  7. IF alpha+beta=pi/2 and gamma+beta=alpha then find tan alpha.

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  8. If (sin x)/(sin y)=(1)/(2), (cos x)/(cos y)=(3)/(2), where x,y in (0,(...

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  9. If tan x + tan 2x+tan 3x=tan x tan 2x tan 3x then |sin 3x+cos 3x|

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  10. If theta is eliminated from the equations x=a cos(theta-alpha) and y=b...

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  11. Let x=sin1^(@), then the value of the expression (1)/(cos 0^(@).cos 1^...

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  12. If cos(theta - alpha)=a, cos(theta-beta)=b, then sin^(2)(alpha -beta) ...

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  13. (sqrt(2)-sin alpha - cos alpha)/(sin alpha - cos alpha) is equal to

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  14. If U(n) = sin n theta.sec^(n)theta, V(n)=cosnthetasec^(n)theta for n=0...

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  15. Find the value of the expression sqrt3 cosec 20^@-sec20^@=…….

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  16. If A and B are acute positive angles satisfying the equations 3sin^(2)...

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  17. If theta=3alpha and sin theta =(a)/(sqrt(a^(2)+beta^(2))),, the value ...

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  18. If sqrt(2)cos A = cos B + cos^(3)B, and sqrt(2)sin A = sin B- sin^(3)B...

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  19. If sin theta(1)sin theta(2)-cos theta(1)cos theta(2)+1=0, then the val...

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  20. Given both theta and phi are acute angles and sin theta = (1)/(2), cos...

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