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Show that (sinx-siny)/(cosx+cosy)=tan((x...

Show that `(sinx-siny)/(cosx+cosy)=tan((x-y)/2)`

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ARIHANT MATHS-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (Single Option Correct Type Questions)
  1. Show that (sinx-siny)/(cosx+cosy)=tan((x-y)/2)

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  2. Let the smallest positive value of x for which the function f(x)=sin"...

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  3. The number of solutions of the equation 16(sin^(5)x +cos^(5)x)=11(sin ...

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  4. If xsina+ysin2a+zsin3a=sin4a xsinb+ysin2b+zsin3b=sin4b, xsinc+ysin2c...

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  5. Find the least positive value of x satisfying (sin^2 2x+4sin^4x-4sin^...

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  6. The maximum value of the expression |sqrt(sin^2x+2a^2)-sqrt(2a^2-1-...

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  7. The general solution of 8 tan^(2)""(x)/(2)=1+ sec x is

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  8. General solution of tan theta+tan 4 theta+tan 7 theta=tan theta tan 4 ...

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  9. Find the number of solution of the equation e^(sinx)-e^(-sinx)-4=0

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  10. Find the number of solution(s) of the equation cos (pi sqrt(x)) cos ...

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  11. The number of real solution of equation Sin(e^x) = 5^x + 5^(-x) is :

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  12. Evaluate int 3x^5 dx

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  13. Let 2 sin^(2)x + 3 sin x -2 gt 0 and x^(2)-x -2 lt 0 ( x is measured ...

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  14. The number of points of intersection of two curves y=2sinxa n dy=5x^2+...

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  15. The number of all the possible triplets (a1,a2,a3) such that a1+a2cos(...

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  16. Find dy/dx if 2x+3y=sinx

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  17. In the interval [-pi/2,pi/2] the equation log(sin theta)(cos 2 theta)=...

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  18. If sum(i=1)^(n) cos theta(i)=n, then the value of sum(i=1)^(n) sin the...

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  19. If (sin alpha)^(x)+(cos alpha)^(x) ge 1,0 lt a lt (pi)/(2) then

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  20. The most general values of 'x' for which sin x + cos x ="min"(a in R)...

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