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If (1+tantheta)(1+tanphi)=2 then theta+p...

If `(1+tantheta)(1+tanphi)=2` then `theta+phi=`

A

`30^(@)`

B

`45^(@)`

C

`60^(@)`

D

`75^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
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OBJECTIVE RD SHARMA-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise
  1. If "sin" A = "sin"B, "cos"A = "cos"B, then the value of A im terms of ...

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  2. Solve 5 cos 2 theta+2 "cos"^(2) theta/2 +1=0, -pi lt theta lt pi.

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  3. If (1+tantheta)(1+tanphi)=2 then theta+phi=

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  4. The general solution of "tan" 3x =1, is

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  5. If 1+sintheta+sin^2theta+sin^3theta+..to oo=4+2sqrt3 0<theta<pi, t...

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  6. If alpha and beta are the solutions of the equation atan theta+ b s...

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  7. Solve sinx+siny=sin(x+y)a n d|x|+|y|=1

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  8. The expression (1 + tan x + tan^2 x)(1-cot x + cot^2 x) has the positi...

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  9. The equation K-sin theta+ cos 2theta= 2k-7 possesses a real solution i...

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  10. The equation "sin"^(6) x + "cos"^(6) x = lambda, has a solution if

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  11. If y + "cos" theta = "sin" theta has a real solution, then

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  12. The solution set of the equation 4 "sin" theta "cos" theta- 2 "cos" th...

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  13. The most general solution of "tan " theta = -1, "cos" theta = (1)/(sqr...

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  14. If sin x +icos 2x,and cosx-isin2x are conjugate to each other then x=

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  15. The smallest positive root of the equation tanx-x=0 lies in (0,pi/2) ...

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  16. The number of solutions of the equation "sin" x = "cos" 3x "in" [0, pi...

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  17. The most general values oro satisfying tan theta + tan((3pi)/4+theta)=...

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  18. If "sec" theta "tan" theta =sqrt(2),"then" theta=

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  19. The number of solutions of the equation "tan" x + "sec"x = 2"cos" x ly...

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  20. If "cot" theta "cot" 7 theta + "cot" theta "cot" 4 theta + "cot" 4 the...

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