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If cosalpha=siny/sinx,cosbeta=sinz/sinxa...

If `cosalpha=siny/sinx`,`cosbeta=sinz/sinx`and `cos(alpha-beta)=siny sinz`.Show that `tan^2x=tan^2y+tan^2z`

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 3-EXERCISE
  1. Show that the co-efficient of the middle term of the expansion of(1+x)...

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  2. If (y/z)^a.(z/x)^b.(x/y)^c=1and a,b,c are in A.P ,show that x,y,z are ...

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  3. In /\XYZthe equation of the perpendicularbisector of XY and XZ arc x-y...

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  4. Find the distance of the point (3. 5) from the line 2x + 3y = 14measur...

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  5. The end’ points of a rod having length l are moving a long with two st...

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  6. Find the equation of a circle .which passes through (-2. 1) and touche...

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  7. Evaluate:lim(x-0)((e^x-1)log5(1+5x))/(sin^2x)

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  8. Differentiate a^x with respect to x (a> 0) with the help 1st principle...

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  9. ‘I80 is the multiple of 4 or 5 examine the validity of the compound st...

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  10. ‘x is such a real number that 4x^3 + 3x= 0, then x = O’. Find the trut...

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  11. The AM and SD of the marks obtained in the subjects' Bengali, .English...

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  12. If cosalpha=siny/sinx,cosbeta=sinz/sinxand cos(alpha-beta)=siny sinz.S...

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  13. Solve :16^(sin^2x)+16^(cos^2x)=10.[0lexlepi]

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  14. Find the common solution region by. the graphical method.3x+2yle18,x+2...

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  15. Solve :x^2+x/sqrt2+1=0

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  16. Find the sum upto nth term : ,1 + 4 + 13 .+ 40 + ........

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  17. Find the rank of the word MOTHER when its letters are arranged as in a...

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  18. An equilateral triangle inscribe a parabola y^2 = 4ax. such that oneof...

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  19. If the ellipsex^2/a^2+y^2/b^2=1passes through the intersecting points ...

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  20. PQ is the double ordinate of the hyperbola x^2/a^2-y^2/b^2=1 and O is ...

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