Prove the following identity:
$left parenthesis 1 plus tanA. tanB right parenthesis squared plus left parenthesis tanA minus tanB right parenthesis squared space equals sec squared straight A. space sec squared straight B.$

Solution

L.H.S
$equals space left parenthesis 1 plus tanA. space tanB right parenthesis squared plus left parenthesis tanA minus tanB right parenthesis squared equals space left parenthesis 1 plus tan squared straight A. space tan squared straight B space plus space 2 space tanA. space tanB space plus space tan squared straight A space plus space tan squared straight B space minus space 2 space tanA. space tanB right parenthesis equals space 1 plus tan squared straight A plus tan squared straight B plus tan squared straight A. space tan squared straight B equals space left parenthesis 1 plus tan squared straight A right parenthesis plus space tan squared straight B left parenthesis 1 plus tan squared straight A right parenthesis equals space left parenthesis 1 plus tan squared straight B right parenthesis thin space left parenthesis 1 plus tan squared straight A right parenthesis equals space sec squared straight B. space sec squared straight A equals space straight R. straight H. straight S.$
Hence, L.H.S. = R.H.S.

For Daily Free Study Material Join wiredfaculty

Some Applications Of Trigonometry

Prove the following identity:
$left parenthesis 1 plus tanA. tanB right parenthesis squared plus left parenthesis tanA minus tanB right parenthesis squared space equals sec squared straight A. space sec squared straight B.$

Some More Questions From Some Applications of Trigonometry Chapter

Choose the correct option and justify your choice:
sin 2A = 2 sin A is true when A =
(A) 0° (B) 30° (C) 45° (D) 60°

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Loaction

For Daily Free Study Material Join wiredfaculty

Some Applications Of Trigonometry

Prove the following identity:

Some More Questions From Some Applications of Trigonometry Chapter

Choose the correct option and justify your choice:sin 2A = 2 sin A is true when A = (A) 0° (B) 30° (C) 45° (D) 60°

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Prove the following identity:
$left parenthesis 1 plus tanA. tanB right parenthesis squared plus left parenthesis tanA minus tanB right parenthesis squared space equals sec squared straight A. space sec squared straight B.$

Choose the correct option and justify your choice:
sin 2A = 2 sin A is true when A =
(A) 0° (B) 30° (C) 45° (D) 60°