Question

Find the principal values of the following

tan^-1(- 1)

Solution

Let y = tan^-1(- 1) where $negative straight pi over 2 space less than space y space less than space straight pi over 2$
$therefore space space$ tan y = -1 where $negative straight pi over 2 less than straight y less than straight pi over 2$
$therefore space space space space space straight y equals negative straight pi over 4 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space open square brackets because space tan space open parentheses negative straight pi over 4 close parentheses equals negative tan straight pi over 4 equals negative 1 close square brackets$
$therefore$ required principal value = $negative straight pi over 4$

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Inverse Trigonometric Functions

Find the principal values of the following

tan^-1(- 1)

Some More Questions From Inverse Trigonometric Functions Chapter

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For Daily Free Study Material Join wiredfaculty

Inverse Trigonometric Functions

Find the principal values of the followingtan-1(- 1)

Some More Questions From Inverse Trigonometric Functions Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Find the principal values of the following

tan^-1(- 1)