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If cosx+sinx=sqrt2cosx and cosx-sinx=k.s...

If `cosx+sinx=sqrt2cosx` and cosx-sinx=k.sinx, then `k^2=?`

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PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. Match List - I with List-II

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  2. Match List - I with List-II

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  3. If cosx+sinx=sqrt2cosx and cosx-sinx=k.sinx, then k^2=?

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  4. If sintheta+costheta=1, then find the minimum value of (1+sectheta)(1+...

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  5. If M be the maximum value of 1+2sinx+3cosx, then 3M-10 is equal to

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  6. If 4nalpha=pi, then the numerical value of tanalpha, tan2alpha,tan3alp...

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  7. If alpha=pi/15 and cos2alphacos4alphacos8alphacos14alpha=lambda then 2...

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  8. 0ltxltpi/4 and pi/4 < y < pi/2 and underset(k=0)oversetinftysum(-1)^kt...

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  9. The number of sides of two regular polygons are in the ratio 5:4 and t...

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  10. If cosx=-3./5 x lies in the third quadrant fins the values of other fi...

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  11. If tanalpha=m/(m+1) , tanbeta=1/(2m+1) prove that alpha+beta=pi/4

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  12. If (sin(theta+alpha))/(cos(theta-alpha))=(1-m)/(1+m) prove that tan((p...

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  13. Prove that cosalpha+cosbeta+cosgamma+cos(alpha+beta+gamma)= 4cos((alph...

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  14. prove that (sinA+sin3A+sin5A+sin7A)/(cosA+cos3A+cos5A+cos7A)=tan4A

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  15. show that (sinx)/(cos3x)+(sin3x)/(cos9x)+(sin9x)/(cos27x)=1/2(tan27x-t...

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  16. If in a triangle ABC cot(A/2)+cot(C/2)=2cot(B/2) then find the minimum...

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  17. If in triangle ABC cosA+cosB+cosC=3/2 then prove that triangle is equi...

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  18. If tan(alpha/2)=sqrt((a-b)/(a+b)) tan(beta/2) prove that cosalpha=(aco...

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  19. If tanalpha=1/7 ,sinbeta=1/sqrt10 prove that alpha+2beta=(pi/4) where ...

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  20. Show that 2^(sinx)+2^(cosx)ge2^(1-(1/sqrt2))

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