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Asked by sarveshvibrantacademy 22nd May 2019, 10:51 PM
Answered by Expert
Answer:
a space cos squared left parenthesis x plus y right parenthesis equals b
rightwards double arrow cos squared left parenthesis x plus y right parenthesis equals b over a
rightwards double arrow cos left parenthesis x plus y right parenthesis equals square root of b over a end root space.... space left parenthesis i right parenthesis
rightwards double arrow negative sin left parenthesis x plus y right parenthesis fraction numerator d over denominator d x end fraction open parentheses x plus y close parentheses equals 0
rightwards double arrow negative sin left parenthesis x plus y right parenthesis open parentheses 1 plus fraction numerator d y over denominator d x end fraction close parentheses equals 0
F r o m space left parenthesis i right parenthesis comma space sin left parenthesis x plus y right parenthesis equals square root of 1 minus b over a end root equals square root of fraction numerator a minus b over denominator a end fraction end root
rightwards double arrow square root of fraction numerator a minus b over denominator a end fraction end root open parentheses 1 plus fraction numerator d y over denominator d x end fraction close parentheses equals 0
I f space square root of fraction numerator a minus b over denominator a end fraction end root equals 0 rightwards double arrow a equals b rightwards double arrow cos squared left parenthesis x plus y right parenthesis equals 1 rightwards double arrow x plus y equals 0 rightwards double arrow x equals negative y rightwards double arrow fraction numerator d y over denominator d x end fraction equals negative 1
I f space 1 plus fraction numerator d y over denominator d x end fraction equals 0 rightwards double arrow fraction numerator d y over denominator d x end fraction equals negative 1
I n space b o t h space t h e space c a s e s space fraction numerator d y over denominator d x end fraction equals negative 1
H e n c e comma space fraction numerator d y over denominator d x end fraction equals negative 1
Answered by Expert 23rd May 2019, 11:32 AM
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