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Prove that tan(x+y)=(tanx+tany)/(1-tanxt...

Prove that `tan(x+y)=(tanx+tany)/(1-tanxtany)`

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OSWAAL PUBLICATION-SAMPLE PAPER 5-EXERCISE
  1. Find the range and domain of the real function f(x)=sqrt(9-x^2).

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  2. The minute hand of a clock is 2.1cm long. How far does its tip move is...

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  3. Prove that tan(x+y)=(tanx+tany)/(1-tanxtany)

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  4. Evaluate:underset(x rarr -1)lim [1+x+x^2+x^3+................+x^10].

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  5. A die is thrown.Write the sample space.Also find the probability of th...

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  6. Write the inverse , converse of 'If a parallelogram is a square , then...

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  7. Two series A and B with equal means standard deviation 9 and 10 respe...

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  8. Find the equation of the line perpemdicular to the line x+y+2=0 and pa...

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  9. Convert the complex number -1+i in the polar form ?

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  10. Solve 3x+2y>6 graphically.

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  11. Find the distance between the parallel lines 3x-4y+7=0 and 3x-4y+5 ...

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  12. Show that the points A(1,2,3),B(-1,-2,-1),C(2,3,2) and D(4,7,6) are th...

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  13. In a group of 65 people, 40 like cricket, 10 like both cricket and ten...

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  14. Determine the domain and range of the relation R defined by R={(x,x+...

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  15. Prove that (cos x +cos y)^(2)+(sin x-sin y)^(2)=4 cos^(2) ((x+y)/(2))

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  16. Solve the equation x^2+3x+9=0.

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  17. Find real theta such that (3 + 2i sin theta)/(1-2i sin theta) is purel...

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  18. In a class of 60 students. 30 opted for NCC, 32 opted for NSS and 24 o...

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  19. In a class of 60 students. 30 opted for NCC, 32 opted for NSS and 24 o...

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  20. Find the coefficient of x^(6) y^(3) in the expansion of ( x+ 2y ) ^(...

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