Question

If 2 cos² 3 - 11 cos e +5=0, find
possible values of cosa​

Answer 1

Step-by-step explanation:

Given Question :-

If 2 cos² 3 - 11 cos e +5=0, find possible values of cosa ?

Correct Question:-

If 2 Cos^2 A -11 Cos A + 5 = 0 then find the possible values of Cos A ?

Solution:-

Given equation is 2Cos^2 A-11Cos A+5= 0

=> 2 Cos^2 A-Cos A -10 Cos A +5 = 0

=> Cos A ( 2 Cos A -1) -5(2 Cos A -1) = 0

=> (2 Cos A -1)(Cos A -5) = 0

=> 2 Cos A -1 = 0 or Cos A -5 = 0

=> 2 Cos A = 1 or Cos A = 5

=> Cos A = 1/2 or Cos A = 5

Therefore, Cos A = 1/2 and 5

Answer:-

The possible values of Cos A for the given problem are 1/2 and 5

Used Method:-

• Splitting the middle term