CBSE Class 12-science Answered
Please explain me the the confusion about the marked step...
why a+bcoso=Rcos0(theta) at the same time bsin0(theta)= Rsin0(theta)
what is the logic for the cosideration...
Asked by nitishkrnehu09 | 09 Oct, 2017, 19:26: PM
Expert Answer
- This type of substitutions is done for simplification in solving.
- Step 15 being converted into a standard form of trigonometric formula " sinAcosB + cosAsinB = sin(A+B) "
- Here " sinA = sinωt " and " cosB = cosωt "
- but there is no simplied term for sinB and cosA. "R" is taken into consideration for the resultant amplitude from "a" and "b"
- Hence, in step 16 there is substitution for " a+bcosΦ = Rcosθ " for sinA and " bsinΦ = Rsinθ " for cosB making the right hand side of step 15 in the form of sinAcosB + cosAsinB
Answered by Abhijeet Mishra | 08 Dec, 2017, 18:11: PM
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