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If 3 sinalpha=5sin beta, then find the v...

If 3 `sinalpha=5sin beta`, then find the value of `("tan"(alpha+beta)/2)/("tan"(alpha-beta)/2)`

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PATHFINDER-BASIC MATHEMATICS-QUESTION BANK
  1. Solve the simultaneous equations abs(x+2)+y=5 and x-absy=1

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  2. Find the solution set of abs(2x-3)+abs(x+5)leabs(x-8)

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  3. If 3 sinalpha=5sin beta, then find the value of ("tan"(alpha+beta)/2)/...

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  4. If y = cos^2(45^@+x)+(sin x - cos x)^2, then find the maximum and mini...

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  5. Find the general solution of sin x-3 sin 2x+ sin 3x= cos x - 3 cos 2x ...

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  6. For all values of alpha,beta,gamma prove that: cos alpha + cos beta+ ...

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  7. If m tan (theta - 30^@) = n tan(theta+120^@), show that cos2theta = (m...

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  8. Solve the following inequalities : (abs(x-1)-3)(abs(x+2)-5)lt0

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  9. Solve the following inequalities : sin 3x lt sin x

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  10. Solve the following inequalities : tan^2 x-(1+sqrt3)tan x+ sqrt3lt0

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  11. If x,y,z, in R such that x+y+z=4, x^2+y^2+z^2=6 then find the range of...

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  12. Complete set of values of x satisfying the inequality x-3 lt sqrt(x^...

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  13. The set of all values of x for which sqrt(-x^2+5x-6)/(sqrt(1-2{x}))ge0...

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  14. The solution of the inequality (abs(x+2)-absx)/sqrt(4-x^3)ge0 is

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  15. Exhaustive set of values of x satisfyinglogabsx(x^2+x+1)ge0 is

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  16. If (log2(4x^2-x-1))/(log2(x^2+1))gt1, then x lies in the interval

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  17. The set of values of x satisfying simultaneously the inequalities sqrt...

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  18. Let alpha=pi/3, then the solution set of the inequality log(sinalpha)(...

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  19. If f(x) =cos[pi^2]x + cos[-pi^2]x, where [x] stands for the greatest i...

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  20. log(0.5)log5(x^2-4)gtlog(0.5)1, then 'x' lies in the interval

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