Q. 3 A3.7( 3 Votes )

# For the principal

Answer :

Let,

Sin–1 = y

sin y = –sin y = –sin As we know sin(–θ) = –sinθ

–sin = sin The range of principal value of sin–1 is and sin Therefore, the principal value of Sin–1 is ….(1)

Let,

cosec–1 = z

cosec z = –cosec z = –cosec As we know cosec(–θ) = –cosecθ

–cosec = cosec The range of principal value of cosec–1 is is –{0} and

cosec Therefore, the principal value of cosec–1 is ….(2)

From (1) and (2) we get = Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

State True or FalMathematics - Exemplar

State True or FalMathematics - Exemplar

Fill in the blankMathematics - Exemplar

Fill in the blankMathematics - Exemplar

Find the principaRD Sharma - Volume 1

State True or FalMathematics - Exemplar

State True or FalMathematics - Exemplar