Find the value of each of the following :

(i) sin (sin^–1x + cos^–1.x) (ii) cos (sec^–1x + cosec^–1x). | x | ≥ 1

Solution

(i) sin (sin^–1x + cos^–1.x) = $sin space straight pi over 2 equals 1$
$left parenthesis ii right parenthesis space straight L. space straight H. space straight S. italic space equals space cos left parenthesis sec to the power of negative 1 end exponent space straight x space plus space cosec to the power of negative 1 end exponent straight x right parenthesis equals cos space straight pi over 2 space space space space space space space space space space space space space space space space space space space equals 0 equals straight R. straight H. straight S. therefore space space space space space space space space straight L. straight H. straight S. space space space equals space straight R. space straight H. space straight S. space$

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Inverse Trigonometric Functions

Find the value of each of the following :

(i) sin (sin^–1x + cos^–1.x) (ii) cos (sec^–1x + cosec^–1x). | x | ≥ 1

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Inverse Trigonometric Functions

Find the value of each of the following : (i) sin (sin–1x + cos–1.x) (ii) cos (sec–1x + cosec–1x). | x | ≥ 1

Some More Questions From Inverse Trigonometric Functions Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Find the value of each of the following :

(i) sin (sin^–1x + cos^–1.x) (ii) cos (sec^–1x + cosec^–1x). | x | ≥ 1