Home
Class 11
MATHS
cosA+cos(12 0^(@)+A)+cos(12 0^(@)-A)=...

`cosA+cos(12 0^(@)+A)+cos(12 0^(@)-A)=`

Text Solution

AI Generated Solution

To solve the expression \( \cos A + \cos(120^\circ + A) + \cos(120^\circ - A) \), we can use the cosine addition and subtraction formulas. Here’s a step-by-step breakdown of the solution: ### Step 1: Write down the expression We start with the expression: \[ \cos A + \cos(120^\circ + A) + \cos(120^\circ - A) \] ...
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISES 3A|12 Videos
  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISES 3B|24 Videos
  • STRAIGHT LINES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise|207 Videos

Similar Questions

Explore conceptually related problems

Prove that a) (sin3A + sinA)sinA+(cos3A-cosA) cosA=0 b) cos20^(@)cos40^(@)cos80^(@)=1/8

4 cos 12 ^(@) cos 48^(@) cos 72^(@) = cos 36 ^(@)

If A,B,C and D are the angles of cyclic quadrilateral, prove that: i) cosA + cosB+cosC+cosD = 0 ii) cos(180^(@)-A)+cos(180^(@)+B)+cos(180^(@)+C)-sin(90^(@)+D) = 0

cos 12 ^(@) cos 24 ^(@) cos 36 ^(@) cos 48^(@) cos 72^(@) cos 84^(@) = (1)/(2 ^(6))

Prove that (i) sin (90^(2)-A)cos (90^(@)-A)=(tanA)/(1+tan^(2)A) (ii) (cos(90^(@)-A).cosA)/(cotA)-sin^(2)A=0

Prove that : (cos (90^(@) - 0) cos 0) /(cot 0) = 1 - cos^(2) 0

The value of cos^(2)48^(@)-sin^(2)12^(@) is

Find the value of cos 12^(@)+cos 84^(@)+cos 156^(@)+cos 132^(@)

Prove that cos12^(@)+cos84^(@)+cos132^(@)+cos156^(@)=-1/2

Let alpha = tan^-1 (1/2)+tan^-1(1/3) , beta=cos^-1(2/3)+cos^-1(sqrt5/3) , gamma=sin^-1(sin((2pi)/3))+1/2cos^-1(cos((2pi)/3)) The value of cos(alpha+beta+gamma) is equal to (A) cos((5pi)/12) (B) cos ((7pi)/12) (C) -cos(pi/12) (D) -cos ((7pi)/12)