Sponsor Area

Principle Of Mathematical Induction

Question

Prove that:

$WiredFaculty$

Solution

As we know that:
$cos open parentheses straight pi over 2 minus straight x close parentheses space equals space sinx$
or $sinx space equals space cos open parentheses straight pi over 2 minus straight x close parentheses$
Replacing x by $space space space straight pi over 2 minus straight x comma$ we get
$sin open parentheses straight pi over 2 minus straight x close parentheses space equals space cos open square brackets straight pi over 2 minus open parentheses straight pi over 2 minus straight x close parentheses close square brackets space space space space rightwards double arrow space space space space sin space open parentheses straight pi over 2 minus straight x close parentheses equals cosx$
Hence, $sin open parentheses straight pi over 2 minus straight x close parentheses space equals space cosx.$

For Daily Free Study Material Join wiredfaculty

WhatsApp Group

Download Android App

Ncert Book Download

Principle Of Mathematical Induction

Prove that:

$WiredFaculty$

Some More Questions From Principle of Mathematical Induction Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation