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If alpha,beta are the different values o...

If `alpha,beta` are the different values of `x` satisfying `acosx+bsinx=c` then `tan((alpha+beta)/2)` is

A

a+b

B

a-b

C

`b//a`

D

`a//b`

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise
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  2. The values of theta satisfying "sin" 7 theta = "sin" 4 theta -"sin" th...

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  3. If alpha,beta are the different values of x satisfying acosx+bsinx=c t...

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  4. The equation a "sin" x+b "cos" x = c, " where"|c| gt sqrt(a^(2) + b^(2...

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  5. If alpha is a root of 25"cos"^(2) theta+ 5"cos" theta-12 = 0, (pi)/(2)...

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  6. If "cos 3x + "sin" (2x - (7pi)/(6)) =-2, then x =

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

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  8. If A and B are acute positive angles satisfying the equations 3 "sin"^...

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  9. The equation "sin" theta = x +(p)/(x) for real values of x is possible...

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  10. If "sin" A = "sin"B, "cos"A = "cos"B, then the value of A im terms of ...

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

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

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

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

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

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

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

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

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

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

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