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If x=r sin theta cos phi, y= r sin theta...

If `x=r sin theta cos phi, y= r sin theta sin phi, z=r cos theta`,
prove that `x^2+y^2+z^2=r^2`.

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MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. If x cos theta- y sin theta=a,x sin theta+ y cos theta=b, prove that x...

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  2. If cosec theta- sin theta= a^3, sec theta- cos theta= b^3, prove that ...

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  3. If x=r sin theta cos phi, y= r sin theta sin phi, z=r cos theta, prov...

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  4. If (sin A)/(sin B)=m, and (cosA)/(cosB)=n, prove that tan A= +- m/n sq...

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  5. If tan alpha= n tan beta and sin alpha= m sin beta, prove that cos^2 a...

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  6. Which of the six t-ratios are positive for the angle : 210^@ ?

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  7. Which of the six t-ratios are positive for the angle : -405^@ ?

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  8. If sin theta= -1/sqrt2 and tan theta=1, find the quadrant in which the...

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  9. Prove that sectheta+costheta can never be equal to (3)/(2).

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  10. Prove that : cosec^2 theta+ sin^2 theta can never be less than 2.

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  11. Is the equation 2 cos^2 theta + cos theta-6 = 0 possible ?

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  12. Is the equation 2 sin^2 theta -cos theta+ 4 = 0 possible ?

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  13. Find the values of the remaining functions in the following problem : ...

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  14. Find the values of other five trignometrtic functions in each of the f...

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  15. Find the values of the remaining functions in the following problem : ...

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  16. Find the values of the remaining functions in the following problem : ...

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  17. Find the values of the remaining functions in the following problem : ...

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  18. Find the values of the remaining functions in the following problem : ...

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  19. Find the values of the remaining functions in the following problem : ...

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  20. Find the values of the remaining functions in the following problem : ...

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