Prove that:

$2 space sinA space cosB space equals space sin left parenthesis straight A plus straight B right parenthesis space plus space sin left parenthesis straight A minus straight B right parenthesis$

Solution

R.H.S. = $sin space left parenthesis straight A plus straight B right parenthesis space plus space sin space left parenthesis straight A minus straight B right parenthesis$
= $left square bracket sinA space cosB space plus space cosA space sinB right square bracket space plus space left square bracket sinA space cosB space minus space cosA space sinB right square bracket$
= 2 sinA cosB = L.H.S.
Hence, 2 sinA cosB = sin (A+B) + sin (A - B)

For Daily Free Study Material Join wiredfaculty

Principle Of Mathematical Induction

Prove that:

$2 space sinA space cosB space equals space sin left parenthesis straight A plus straight B right parenthesis space plus space sin left parenthesis straight A minus straight B right parenthesis$

Some More Questions From Principle of Mathematical Induction Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Loaction