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If (1+ tan theta) (1+ tan phi)=2, then t...

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

A

`30^(@)`

B

`45^(@)`

C

`75^(@)`

D

`60^(@)`

Text Solution

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The correct Answer is:
B
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CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 8
  1. If cos theta =tan theta, then which one of the following is correct ?

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  2. If tan (pi cos theta) = cot (pi sin theta), then the valus of cos (th...

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

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  4. The number of solutions of 2 cos ^(2) (x/2) sin ^(2)x =x^(2)+(1)/(x^(2...

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  5. The most general values of theta satisfying the two equations cos thet...

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  6. In any triangle ABC, if a,b,c are in A.P. then tan ""A/2, tan ""B/2, t...

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  7. In any triangle ABC, the value of (b^(2)sin 2C + c^(2) sin 2B) is-

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  8. If a sin theta =b sin (120^(@) +theta) =c sin (240^(@) +theta), then ...

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  9. The value of theta ( 0 lt theta lt (pi)/(2)) for which cos theta sin (...

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  10. The maximum value of [sin (x+(pi)/(6))+cos (x+(pi)/(6))] in the interv...

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  11. The value of cos ""pi/7 cos ""(2pi)/(7) cos ""(3pi)/(7) is-

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  12. In a triangle ABC, a=4 , b=3, A=60^(@), then c is the root of the equa...

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  13. The valud of sin 12^(@) sin 48^(@) sin 54^(@) is equal to-

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  14. In a right angled triangle, the hypotense is four times as long as the...

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  15. If n is an integer, which of the following is correct ?

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  16. If 1+ sin ^(2) A=3 sin A cos A , then possible values of tan A are-

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  17. The soluition of the equation sin theta -2= cos 2 theta in the interv...

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  18. The value od the expression sqrt(2+sqrt(2+sqrt(2+2 cos 8 theta )))is-

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  19. If tan x =b/a, then the value of (a cos 2x+ b sin 2x) is equal to-

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  20. If x= sum(n=0)^(oo) cos ^(2n)theta , y = sum (n=o) ^(oo) sin ^(2n)thet...

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