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A. sin(35) = cos(a)  a= ? degrees B. sin(b) = cos(19)  b= ? degrees  C. cos(x) = sin(0) 0= ? degrees (this answer is an expression involving x)

A. sin(35) = cos(a)  a= ? degrees B. sin(b) = cos(19)  b= ? degrees  C. cos(x) = sin(0) 0= ? degrees (this answer is an expression involving x)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A. sin(35) = cos(a)  a= ? degrees

B. sin(b) = cos(19)  b= ? degrees 

C. cos(x) = sin(0) 0= ? degrees (this answer is an expression involving x) 

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Solution :-

A.sin35∘ =cosaApply trig inverse propertiesGeneral solutions for cosa=sin35∘ cosx=a  ⇒   x=arccosa+360∘ n,    x=360∘ -arccosa+360∘ na=arccossin35∘ +360∘ n, a=360∘ -arccossin35∘ +360∘ nShow solutions in decimal forma=0.95993+360∘ n, a=360∘ -0.95993+360∘ n

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