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Prove that (cosx+cosy)^(2)+(sinx-siny)^...

Prove that `(cosx+cosy)^(2)+(sinx-siny)^(2)=4cos^(2)((x+y)/(2))`

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`=4cos^(2)((x+y)/(2))`
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SUBHASH PUBLICATION-PU EDU.DEPT.MODEL QUESTION PAPER (WITH ANSWERS)-PART - C ( III. Answer any EIGHT of following questions)
  1. Out of a group of 200 students (who know at least one language), 100 s...

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  2. Let R:ZrarrZ be a relation defined by R = {(a,b):a,b,inZ, a -b in z) ....

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  3. Prove that (cosx+cosy)^(2)+(sinx-siny)^(2)=4cos^(2)((x+y)/(2))

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  4. Solve sqrt(2) x^(3)+x+sqrt(2)=0

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  5. How many words, with or without meaning can be made from the letters o...

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  6. If x+iy=(2+i)/(2-i) then prove taht x^(2)+y^(2)=1

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  7. Find the term independent of x in the expansion of (3/2x^(2)-1/(3x)).

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  8. 8,A(1),A(2),A(3),24.

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  9. A committee of two persons is selected from two men and two women.How ...

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  10. A committee of two persons is selected from two men and two women.How ...

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  11. Differentiate of cos x w.r.t. x from first principles

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  12. A parabola with vertex at origin has its focus at the center of x^(2)+...

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  13. In an A.P if m^(th) term is n and n^(th) term is m, where mnen, find t...

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  14. Verify by the method of contradiction that sqrt(2) is irrational .

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  15. Two students Anil and Sunil appear in an examination. The probability ...

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  16. Out of a group of 200 students (who know at least one language), 100 s...

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  17. Let R:ZrarrZ be a relation defined by R = {(a,b):a,b,inZ, a -b in z) ....

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  18. Prove that (cosx+cosy)^(2)+(sinx-siny)^(2)=4cos^(2)((x+y)/(2))

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  19. Solve sqrt(2) x^(2)+x+sqrt(2)=0

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  20. How many words, with or without meaning can be made from the letters o...

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