s i n 2 A 1 + c o s 2 A . c o s A 1 + c o s A = Options: A . &nbsp tan A 2 B . &nbsp cot A 2 C . &nbsp sec A 2 D . &nbsp cosec A 2

Answer: Option A : A ( s i n 2 A 1 + c o s 2 A ) ( c o s A 1 + c o s A ) = 2 s i n A c o s A 2 c o s 2 A c o s A 1 + c o s A = s i n A 1 + c o s A = tan A 2

sin2A1+cos2A . cosA1+cosA =

Discussion Forum : Trigonometric Functions

Question -

$\frac{s i n 2 A}{1 + c o s 2 A}$ .
$\frac{c o s A}{1 + c o s A}$ =

Options:

A . tan

\frac{A}{2}

B . cot

\frac{A}{2}

C . sec

\frac{A}{2}

D . cosec

\frac{A}{2}

Answer: Option A
:
A

$(\frac{s i n 2 A}{1 + c o s 2 A})$ $(\frac{c o s A}{1 + c o s A})$

=
$\frac{2 s i n A c o s A}{2 c o s^{2} A}$
$\frac{c o s A}{1 + c o s A}$ =
$\frac{s i n A}{1 + c o s A}$ = tan
$\frac{A}{2}$

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Discussion Forum : Trigonometric Functions

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