Thus, the principal value of tan − (
Chapter 4: Chapter 4 · MATHEMATICS-VOLUME 1 · EN medium
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Thus, the principal value of tan − ( is π . Example . Find (i) tan − − ( (ii) tan − (iii) tan tan ( (i) tan − − ( = tan = − π , since − ∈− π π (ii) tan − Let us find θ ∈− such that tan θ = tan p . Since the tangent function has period p , tan p = tan = . Therefore, tan − = tan = − π , since − ∈− π π (iii) Since tan tan
📖 Class 12 Mathematics English Volume 1 2025 Edition www.tntextbooks.in · Page 154
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Thus, the principal value of tan − ( is π . Example . Find (i) tan − − ( (ii) tan − (iii) tan tan ( (i) tan − − ( = tan = − π , since − ∈− π π (ii) tan − Let us find θ ∈− such that tan θ = tan p . Since the tangent function has period p , tan p = tan = .
Therefore, tan − = tan = − π , since − ∈− π π (iii) Since tan tan
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