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edison (4605)

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Olaaa!! Perrrfect answer. 809  [1089 rates]

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Use these identites to solve such problems
 
 
Inverse-forward identities are
 
tan^(-1)(cotx) = 1/2pi-x    forx in [0,pi]
(1)
sin^(-1)(cosx) = 1/2pi-x    forx in [0,pi]
(2)
sec^(-1)(cscx) = 1/2pi-x    forx in [0,1/2pi].
(3)
Forward-inverse identities are
 
cos(sin^(-1)x) = sqrt(1-x^2)
(4)
cos(tan^(-1)x) = 1/(sqrt(1+x^2))
(5)
sin(cos^(-1)x) = sqrt(1-x^2)
(6)
sin(tan^(-1)x) = x/(sqrt(1+x^2))
(7)
tan(cos^(-1)x) = (sqrt(1-x^2))/x
(8)
tan(sin^(-1)x) = x/(sqrt(1-x^2)).
(9
 
 
Inverse sum identities include
 
sin^(-1)x+cos^(-1)x = 1/2pi
(10)
tan^(-1)x+cot^(-1)x = 1/2pi
(11)
sec^(-1)x+csc^(-1)x = 1/2pi,
(12)

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