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CBSE Class 10 Answered

If x = r sinAcosB,  y = r sinAcosB and z= r cosA, show that x² + y²+ z²= r².
Asked by pdcavita | 18 Nov, 2017, 12:46: PM
answered-by-expert Expert Answer
begin mathsize 16px style space straight x equals straight r space sin space straight A space cos space straight B comma space space straight y equals straight r space sin space straight A space sin space straight B space and space straight z equals straight r space cos space straight A straight x squared plus straight y squared plus straight z squared equals straight r squared space sin squared space straight A space cos to the power of space 2 end exponent space straight B plus straight r squared space sin squared space straight A space sin squared space straight B plus straight r squared space cos squared space straight A equals straight r squared sin squared space straight A space left parenthesis cos to the power of space 2 end exponent space straight B plus sin squared space straight B right parenthesis plus straight r squared space cos squared space straight A equals straight r squared sin squared space straight A plus straight r squared space cos squared space straight A equals straight r squared left parenthesis sin squared space straight A plus cos squared space straight A right parenthesis equals straight r squared end style
Answered by Rashmi Khot | 05 Dec, 2017, 16:00: PM

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