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)=
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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
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)=

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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