Solve this : Q Find the value of expression 2 tan x+1cos2x, ∀7π2 x 15π4(a) -1+tan x(b) (1-tan - Maths - Relations and Functions

Question

Solve this :

Q   Find   the   value   of   expression
  2   tan   x + 1 cos 2 x ,   ∀ 7 π
2 < x < 15 π 4 ( a )   - 1 + tan   x ( b )
  ( 1 - tan   x ) ( c )   ( 1 + tan   x ) ( d )
  ( tan   x - 1 )

Aarushi Mishra · Accepted Answer

2 tan x+1cos2x=2sin xcos x+1cos2x=2sin x cos x+1cos2x=2sin x cos x+sin2x+cos2xcos2x=sin x+cos x2cos2x=sin x+cos xcos x7π2cos x see the graph Also sin x>0=sin y-cos ysin y=1-cot y=1-cot x-7π2=1+cot 7π2-x=1+cot 2π+3π2-x=1+cot 2π+3π2-x=1+cot 3π2-x=1+tan x

Solve this : Q . Find the value of expression 2 tan x + 1 cos 2 x , ∀ 7 π 2 < x < 15 π 4 ( a ) - 1 + tan x ( b ) ( 1 - tan x ) ( c ) ( 1 + tan x ) ( d ) ( tan x - 1 )

Solve this :

$Q . Find the value of expression \sqrt{2 \tan x + \frac{1}{\cos^{2} x}}, \forall \frac{7 π}{2} < x < \frac{15 π}{4} (a) - (1 + \tan x) (b) (1 - \tan x) (c) (1 + \tan x) (d) (\tan x - 1)$