e) Sec^-1 (-2)= f) cot^-1 √3= g) cot(csc^-1(-3))= h) csc(cos^-1 7/25)= i) cos^-1 (cos(19π/6))= j) sin^-1 (sin 1.2)=

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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e) Sec^-1 (-2)=

f) cot^-1 √3=

g) cot(csc^-1(-3))=

h) csc(cos^-1 7/25)=

i) cos^-1 (cos(19π/6))=

j) sin^-1 (sin 1.2)=

1. Find the exact value of each expression if it is defined. No Calculators!

a) \( \sin^{-1}\left(-\frac{1}{2}\right) = \)

b) \( \cos^{-1}\left(\frac{1}{2}\right) = \)

c) \( \cos^{-1}(-1.2) = \)

d) \( \tan^{-1}\left(\tan\left(-\frac{2\pi}{3}\right)\right) = \)

e) \( \sec^{-1}(-2) = \)

f) \( \cot^{-1} \sqrt{3} = \)

g) \( \cot\left(\csc^{-1}(-3)\right) = \)

h) \( \csc\left(\cos^{-1}\left(\frac{7}{25}\right)\right) = \)

i) \( \cos^{-1}\left(\cos\left(\frac{19\pi}{6}\right)\right) = \)

j) \( \sin^{-1}(\sin 1.2) = \)
Transcribed Image Text:1. Find the exact value of each expression if it is defined. No Calculators! a) \( \sin^{-1}\left(-\frac{1}{2}\right) = \) b) \( \cos^{-1}\left(\frac{1}{2}\right) = \) c) \( \cos^{-1}(-1.2) = \) d) \( \tan^{-1}\left(\tan\left(-\frac{2\pi}{3}\right)\right) = \) e) \( \sec^{-1}(-2) = \) f) \( \cot^{-1} \sqrt{3} = \) g) \( \cot\left(\csc^{-1}(-3)\right) = \) h) \( \csc\left(\cos^{-1}\left(\frac{7}{25}\right)\right) = \) i) \( \cos^{-1}\left(\cos\left(\frac{19\pi}{6}\right)\right) = \) j) \( \sin^{-1}(\sin 1.2) = \)
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